What is the Least Common Multiple of 37440 and 37452?

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 37452 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 37452, than apply into the LCM equation.

GCF(37440,37452) = 12
LCM(37440,37452) = ( 37440 × 37452) / 12
LCM(37440,37452) = 1402202880 / 12
LCM(37440,37452) = 116850240

Least Common Multiple (LCM) of 37440 and 37452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37440 and 37452. First we will calculate the prime factors of 37440 and 37452.

Prime Factorization of 37440

Prime Factorization of 37452

Now multiplying the highest exponent prime factors to calculate the LCM of 37440 and 37452.

LCM(37440,37452) = 2⁶ × 3² × 5¹ × 13¹ × 3121¹
LCM(37440,37452) = 116850240