What is the Least Common Multiple of 360 and 376?

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 360 and 376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 360 and 376, than apply into the LCM equation.

GCF(360,376) = 8
LCM(360,376) = ( 360 × 376) / 8
LCM(360,376) = 135360 / 8
LCM(360,376) = 16920

Least Common Multiple (LCM) of 360 and 376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 376. First we will calculate the prime factors of 360 and 376.

Prime Factorization of 360

Prime Factorization of 376

Now multiplying the highest exponent prime factors to calculate the LCM of 360 and 376.

LCM(360,376) = 2³ × 3² × 5¹ × 47¹
LCM(360,376) = 16920