What is the Least Common Multiple of 37968 and 37976?

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 37968 and 37976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37968 and 37976, than apply into the LCM equation.

GCF(37968,37976) = 8
LCM(37968,37976) = ( 37968 × 37976) / 8
LCM(37968,37976) = 1441872768 / 8
LCM(37968,37976) = 180234096

Least Common Multiple (LCM) of 37968 and 37976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37968 and 37976. First we will calculate the prime factors of 37968 and 37976.

Prime Factorization of 37968

Prime Factorization of 37976

Now multiplying the highest exponent prime factors to calculate the LCM of 37968 and 37976.

LCM(37968,37976) = 2⁴ × 3¹ × 7¹ × 113¹ × 47¹ × 101¹
LCM(37968,37976) = 180234096