What is the Least Common Multiple of 37974 and 37980?

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 37980 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 37980, than apply into the LCM equation.

GCF(37974,37980) = 6
LCM(37974,37980) = ( 37974 × 37980) / 6
LCM(37974,37980) = 1442252520 / 6
LCM(37974,37980) = 240375420

Least Common Multiple (LCM) of 37974 and 37980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37974 and 37980. First we will calculate the prime factors of 37974 and 37980.

Prime Factorization of 37974

Prime Factorization of 37980

Now multiplying the highest exponent prime factors to calculate the LCM of 37974 and 37980.

LCM(37974,37980) = 2² × 3² × 6329¹ × 5¹ × 211¹
LCM(37974,37980) = 240375420