What is the Least Common Multiple of 37428 and 37448?

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 37428 and 37448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37428 and 37448, than apply into the LCM equation.

GCF(37428,37448) = 4
LCM(37428,37448) = ( 37428 × 37448) / 4
LCM(37428,37448) = 1401603744 / 4
LCM(37428,37448) = 350400936

Least Common Multiple (LCM) of 37428 and 37448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37428 and 37448. First we will calculate the prime factors of 37428 and 37448.

Prime Factorization of 37428

Prime Factorization of 37448

Now multiplying the highest exponent prime factors to calculate the LCM of 37428 and 37448.

LCM(37428,37448) = 2³ × 3¹ × 3119¹ × 31¹ × 151¹
LCM(37428,37448) = 350400936