What is the Least Common Multiple of 37956 and 37968?

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 37956 and 37968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37956 and 37968, than apply into the LCM equation.

GCF(37956,37968) = 12
LCM(37956,37968) = ( 37956 × 37968) / 12
LCM(37956,37968) = 1441113408 / 12
LCM(37956,37968) = 120092784

Least Common Multiple (LCM) of 37956 and 37968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37956 and 37968. First we will calculate the prime factors of 37956 and 37968.

Prime Factorization of 37956

Prime Factorization of 37968

Now multiplying the highest exponent prime factors to calculate the LCM of 37956 and 37968.

LCM(37956,37968) = 2⁴ × 3¹ × 3163¹ × 7¹ × 113¹
LCM(37956,37968) = 120092784