What is the Least Common Multiple of 5996 and 6013?
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 6013 is 36053948.
LCM(5996,6013) = 36053948
Least Common Multiple of 5996 and 6013 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 6013, than apply into the LCM equation.
GCF(5996,6013) = 1
LCM(5996,6013) = ( 5996 × 6013) / 1
LCM(5996,6013) = 36053948 / 1
LCM(5996,6013) = 36053948
Least Common Multiple (LCM) of 5996 and 6013 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5996 and 6013. First we will calculate the prime factors of 5996 and 6013.
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 6013
Prime factors of 6013 are 7, 859. Prime factorization of 6013 in exponential form is:
6013 = 71 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 5996 and 6013.
LCM(5996,6013) = 22 × 14991 × 71 × 8591
LCM(5996,6013) = 36053948
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