What is the Least Common Multiple of 75620 and 75625?

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 75620 and 75625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75620 and 75625, than apply into the LCM equation.

GCF(75620,75625) = 5
LCM(75620,75625) = ( 75620 × 75625) / 5
LCM(75620,75625) = 5718762500 / 5
LCM(75620,75625) = 1143752500

Least Common Multiple (LCM) of 75620 and 75625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75620 and 75625. First we will calculate the prime factors of 75620 and 75625.

Prime Factorization of 75620

Prime Factorization of 75625

Now multiplying the highest exponent prime factors to calculate the LCM of 75620 and 75625.

LCM(75620,75625) = 2² × 5⁴ × 19¹ × 199¹ × 11²
LCM(75620,75625) = 1143752500