What is the Least Common Multiple of 37152 and 37160?

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 37152 and 37160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37152 and 37160, than apply into the LCM equation.

GCF(37152,37160) = 8
LCM(37152,37160) = ( 37152 × 37160) / 8
LCM(37152,37160) = 1380568320 / 8
LCM(37152,37160) = 172571040

Least Common Multiple (LCM) of 37152 and 37160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37152 and 37160. First we will calculate the prime factors of 37152 and 37160.

Prime Factorization of 37152

Prime Factorization of 37160

Now multiplying the highest exponent prime factors to calculate the LCM of 37152 and 37160.

LCM(37152,37160) = 2⁵ × 3³ × 43¹ × 5¹ × 929¹
LCM(37152,37160) = 172571040