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What is the Least Common Multiple of 37994 and 38001?

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 37994 and 38001 is 1443809994.

LCM(37994,38001) = 1443809994

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Least Common Multiple of 37994 and 38001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37994 and 38001, than apply into the LCM equation.

GCF(37994,38001) = 1
LCM(37994,38001) = ( 37994 × 38001) / 1
LCM(37994,38001) = 1443809994 / 1
LCM(37994,38001) = 1443809994

Least Common Multiple (LCM) of 37994 and 38001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37994 and 38001. First we will calculate the prime factors of 37994 and 38001.

Prime Factorization of 37994

Prime factors of 37994 are 2, 11, 157. Prime factorization of 37994 in exponential form is:

37994 = 21 × 112 × 1571

Prime Factorization of 38001

Prime factors of 38001 are 3, 53, 239. Prime factorization of 38001 in exponential form is:

38001 = 31 × 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 37994 and 38001.

LCM(37994,38001) = 21 × 112 × 1571 × 31 × 531 × 2391
LCM(37994,38001) = 1443809994