What is the Least Common Multiple of 57632 and 57640?

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 57632 and 57640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57632 and 57640, than apply into the LCM equation.

GCF(57632,57640) = 8
LCM(57632,57640) = ( 57632 × 57640) / 8
LCM(57632,57640) = 3321908480 / 8
LCM(57632,57640) = 415238560

Least Common Multiple (LCM) of 57632 and 57640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57632 and 57640. First we will calculate the prime factors of 57632 and 57640.

Prime Factorization of 57632

Prime Factorization of 57640

Now multiplying the highest exponent prime factors to calculate the LCM of 57632 and 57640.

LCM(57632,57640) = 2⁵ × 1801¹ × 5¹ × 11¹ × 131¹
LCM(57632,57640) = 415238560