GCF and LCM Calculator Logo

What is the Least Common Multiple of 37994 and 38014?

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 38014 is 722151958.

LCM(37994,38014) = 722151958

LCM Calculator and
and

Least Common Multiple of 37994 and 38014 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 38014, than apply into the LCM equation.

GCF(37994,38014) = 2
LCM(37994,38014) = ( 37994 × 38014) / 2
LCM(37994,38014) = 1444303916 / 2
LCM(37994,38014) = 722151958

Least Common Multiple (LCM) of 37994 and 38014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37994 and 38014. First we will calculate the prime factors of 37994 and 38014.

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 38014

Prime factors of 38014 are 2, 83, 229. Prime factorization of 38014 in exponential form is:

38014 = 21 × 831 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 37994 and 38014.

LCM(37994,38014) = 21 × 112 × 1571 × 831 × 2291
LCM(37994,38014) = 722151958