What is the Least Common Multiple of 37974 and 37979?

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 37974 and 37979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37974 and 37979, than apply into the LCM equation.

GCF(37974,37979) = 1
LCM(37974,37979) = ( 37974 × 37979) / 1
LCM(37974,37979) = 1442214546 / 1
LCM(37974,37979) = 1442214546

Least Common Multiple (LCM) of 37974 and 37979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37974 and 37979. First we will calculate the prime factors of 37974 and 37979.

Prime Factorization of 37974

Prime Factorization of 37979

Now multiplying the highest exponent prime factors to calculate the LCM of 37974 and 37979.

LCM(37974,37979) = 2¹ × 3¹ × 6329¹ × 163¹ × 233¹
LCM(37974,37979) = 1442214546