What is the Least Common Multiple of 5996 and 6007?
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 6007 is 36017972.
LCM(5996,6007) = 36017972
Least Common Multiple of 5996 and 6007 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 6007, than apply into the LCM equation.
GCF(5996,6007) = 1
LCM(5996,6007) = ( 5996 × 6007) / 1
LCM(5996,6007) = 36017972 / 1
LCM(5996,6007) = 36017972
Least Common Multiple (LCM) of 5996 and 6007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5996 and 6007. First we will calculate the prime factors of 5996 and 6007.
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 6007
Prime factors of 6007 are 6007. Prime factorization of 6007 in exponential form is:
6007 = 60071
Now multiplying the highest exponent prime factors to calculate the LCM of 5996 and 6007.
LCM(5996,6007) = 22 × 14991 × 60071
LCM(5996,6007) = 36017972
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