What is the Least Common Multiple of 37968 and 37978?

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 37978 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 37978, than apply into the LCM equation.

GCF(37968,37978) = 2
LCM(37968,37978) = ( 37968 × 37978) / 2
LCM(37968,37978) = 1441948704 / 2
LCM(37968,37978) = 720974352

Least Common Multiple (LCM) of 37968 and 37978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37968 and 37978. First we will calculate the prime factors of 37968 and 37978.

Prime Factorization of 37968

Prime Factorization of 37978

Now multiplying the highest exponent prime factors to calculate the LCM of 37968 and 37978.

LCM(37968,37978) = 2⁴ × 3¹ × 7¹ × 113¹ × 17¹ × 1117¹
LCM(37968,37978) = 720974352