What is the Least Common Multiple of 37440 and 37455?

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 37440 and 37455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37440 and 37455, than apply into the LCM equation.

GCF(37440,37455) = 15
LCM(37440,37455) = ( 37440 × 37455) / 15
LCM(37440,37455) = 1402315200 / 15
LCM(37440,37455) = 93487680

Least Common Multiple (LCM) of 37440 and 37455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37440 and 37455. First we will calculate the prime factors of 37440 and 37455.

Prime Factorization of 37440

Prime Factorization of 37455

Now multiplying the highest exponent prime factors to calculate the LCM of 37440 and 37455.

LCM(37440,37455) = 2⁶ × 3² × 5¹ × 13¹ × 11¹ × 227¹
LCM(37440,37455) = 93487680