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What is the Least Common Multiple of 36999 and 37008?

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 36999 and 37008 is 152139888.

LCM(36999,37008) = 152139888

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Least Common Multiple of 36999 and 37008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36999 and 37008, than apply into the LCM equation.

GCF(36999,37008) = 9
LCM(36999,37008) = ( 36999 × 37008) / 9
LCM(36999,37008) = 1369258992 / 9
LCM(36999,37008) = 152139888

Least Common Multiple (LCM) of 36999 and 37008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36999 and 37008. First we will calculate the prime factors of 36999 and 37008.

Prime Factorization of 36999

Prime factors of 36999 are 3, 4111. Prime factorization of 36999 in exponential form is:

36999 = 32 × 41111

Prime Factorization of 37008

Prime factors of 37008 are 2, 3, 257. Prime factorization of 37008 in exponential form is:

37008 = 24 × 32 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 36999 and 37008.

LCM(36999,37008) = 32 × 41111 × 24 × 2571
LCM(36999,37008) = 152139888