What is the Least Common Multiple of 37977 and 37982?

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 37977 and 37982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37977 and 37982, than apply into the LCM equation.

GCF(37977,37982) = 1
LCM(37977,37982) = ( 37977 × 37982) / 1
LCM(37977,37982) = 1442442414 / 1
LCM(37977,37982) = 1442442414

Least Common Multiple (LCM) of 37977 and 37982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37977 and 37982. First we will calculate the prime factors of 37977 and 37982.

Prime Factorization of 37977

Prime Factorization of 37982

Now multiplying the highest exponent prime factors to calculate the LCM of 37977 and 37982.

LCM(37977,37982) = 3¹ × 12659¹ × 2¹ × 7¹ × 2713¹
LCM(37977,37982) = 1442442414