What is the Least Common Multiple of 5996 and 6009?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 5996 and 6009 is 36029964.
LCM(5996,6009) = 36029964
Least Common Multiple of 5996 and 6009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5996 and 6009, than apply into the LCM equation.
GCF(5996,6009) = 1
LCM(5996,6009) = ( 5996 × 6009) / 1
LCM(5996,6009) = 36029964 / 1
LCM(5996,6009) = 36029964
Least Common Multiple (LCM) of 5996 and 6009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5996 and 6009. First we will calculate the prime factors of 5996 and 6009.
Prime Factorization of 5996
Prime factors of 5996 are 2, 1499. Prime factorization of 5996 in exponential form is:
5996 = 22 × 14991
Prime Factorization of 6009
Prime factors of 6009 are 3, 2003. Prime factorization of 6009 in exponential form is:
6009 = 31 × 20031
Now multiplying the highest exponent prime factors to calculate the LCM of 5996 and 6009.
LCM(5996,6009) = 22 × 14991 × 31 × 20031
LCM(5996,6009) = 36029964
Related Least Common Multiples of 5996
- LCM of 5996 and 6000
- LCM of 5996 and 6001
- LCM of 5996 and 6002
- LCM of 5996 and 6003
- LCM of 5996 and 6004
- LCM of 5996 and 6005
- LCM of 5996 and 6006
- LCM of 5996 and 6007
- LCM of 5996 and 6008
- LCM of 5996 and 6009
- LCM of 5996 and 6010
- LCM of 5996 and 6011
- LCM of 5996 and 6012
- LCM of 5996 and 6013
- LCM of 5996 and 6014
- LCM of 5996 and 6015
- LCM of 5996 and 6016
Related Least Common Multiples of 6009
- LCM of 6009 and 6013
- LCM of 6009 and 6014
- LCM of 6009 and 6015
- LCM of 6009 and 6016
- LCM of 6009 and 6017
- LCM of 6009 and 6018
- LCM of 6009 and 6019
- LCM of 6009 and 6020
- LCM of 6009 and 6021
- LCM of 6009 and 6022
- LCM of 6009 and 6023
- LCM of 6009 and 6024
- LCM of 6009 and 6025
- LCM of 6009 and 6026
- LCM of 6009 and 6027
- LCM of 6009 and 6028
- LCM of 6009 and 6029