What is the Least Common Multiple of 37974 and 37983?

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 37983 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 37983, than apply into the LCM equation.

GCF(37974,37983) = 3
LCM(37974,37983) = ( 37974 × 37983) / 3
LCM(37974,37983) = 1442366442 / 3
LCM(37974,37983) = 480788814

Least Common Multiple (LCM) of 37974 and 37983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37974 and 37983. First we will calculate the prime factors of 37974 and 37983.

Prime Factorization of 37974

Prime Factorization of 37983

Now multiplying the highest exponent prime factors to calculate the LCM of 37974 and 37983.

LCM(37974,37983) = 2¹ × 3¹ × 6329¹ × 11¹ × 1151¹
LCM(37974,37983) = 480788814