What is the Least Common Multiple of 37977 and 37986?

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 37986 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 37986, than apply into the LCM equation.

GCF(37977,37986) = 3
LCM(37977,37986) = ( 37977 × 37986) / 3
LCM(37977,37986) = 1442594322 / 3
LCM(37977,37986) = 480864774

Least Common Multiple (LCM) of 37977 and 37986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37977 and 37986. First we will calculate the prime factors of 37977 and 37986.

Prime Factorization of 37977

Prime Factorization of 37986

Now multiplying the highest exponent prime factors to calculate the LCM of 37977 and 37986.

LCM(37977,37986) = 3¹ × 12659¹ × 2¹ × 13¹ × 487¹
LCM(37977,37986) = 480864774