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What is the Least Common Multiple of 37995 and 38009?

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 37995 and 38009 is 1444151955.

LCM(37995,38009) = 1444151955

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Least Common Multiple of 37995 and 38009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37995 and 38009, than apply into the LCM equation.

GCF(37995,38009) = 1
LCM(37995,38009) = ( 37995 × 38009) / 1
LCM(37995,38009) = 1444151955 / 1
LCM(37995,38009) = 1444151955

Least Common Multiple (LCM) of 37995 and 38009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37995 and 38009. First we will calculate the prime factors of 37995 and 38009.

Prime Factorization of 37995

Prime factors of 37995 are 3, 5, 17, 149. Prime factorization of 37995 in exponential form is:

37995 = 31 × 51 × 171 × 1491

Prime Factorization of 38009

Prime factors of 38009 are 191, 199. Prime factorization of 38009 in exponential form is:

38009 = 1911 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 37995 and 38009.

LCM(37995,38009) = 31 × 51 × 171 × 1491 × 1911 × 1991
LCM(37995,38009) = 1444151955