What is the Least Common Multiple of 37448 and 37456?

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 37448 and 37456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37448 and 37456, than apply into the LCM equation.

GCF(37448,37456) = 8
LCM(37448,37456) = ( 37448 × 37456) / 8
LCM(37448,37456) = 1402652288 / 8
LCM(37448,37456) = 175331536

Least Common Multiple (LCM) of 37448 and 37456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37448 and 37456. First we will calculate the prime factors of 37448 and 37456.

Prime Factorization of 37448

Prime Factorization of 37456

Now multiplying the highest exponent prime factors to calculate the LCM of 37448 and 37456.

LCM(37448,37456) = 2⁴ × 31¹ × 151¹ × 2341¹
LCM(37448,37456) = 175331536