What is the Least Common Multiple of 37982 and 37996?

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 of 37982 and 37996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37982 and 37996, than apply into the LCM equation.

GCF(37982,37996) = 14
LCM(37982,37996) = ( 37982 × 37996) / 14
LCM(37982,37996) = 1443164072 / 14
LCM(37982,37996) = 103083148

Least Common Multiple (LCM) of 37982 and 37996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37982 and 37996. First we will calculate the prime factors of 37982 and 37996.

Prime Factorization of 37982

Prime Factorization of 37996

Now multiplying the highest exponent prime factors to calculate the LCM of 37982 and 37996.

LCM(37982,37996) = 2² × 7¹ × 2713¹ × 23¹ × 59¹
LCM(37982,37996) = 103083148