What is the Least Common Multiple of 57624 and 57632?

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 57624 and 57632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57624 and 57632, than apply into the LCM equation.

GCF(57624,57632) = 8
LCM(57624,57632) = ( 57624 × 57632) / 8
LCM(57624,57632) = 3320986368 / 8
LCM(57624,57632) = 415123296

Least Common Multiple (LCM) of 57624 and 57632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57624 and 57632. First we will calculate the prime factors of 57624 and 57632.

Prime Factorization of 57624

Prime Factorization of 57632

Now multiplying the highest exponent prime factors to calculate the LCM of 57624 and 57632.

LCM(57624,57632) = 2⁵ × 3¹ × 7⁴ × 1801¹
LCM(57624,57632) = 415123296