What is the Least Common Multiple of 75629 and 75640?

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 75629 and 75640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75629 and 75640, than apply into the LCM equation.

GCF(75629,75640) = 1
LCM(75629,75640) = ( 75629 × 75640) / 1
LCM(75629,75640) = 5720577560 / 1
LCM(75629,75640) = 5720577560

Least Common Multiple (LCM) of 75629 and 75640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75629 and 75640. First we will calculate the prime factors of 75629 and 75640.

Prime Factorization of 75629

Prime Factorization of 75640

Now multiplying the highest exponent prime factors to calculate the LCM of 75629 and 75640.

LCM(75629,75640) = 75629¹ × 2³ × 5¹ × 31¹ × 61¹
LCM(75629,75640) = 5720577560