What is the Least Common Multiple of 71525 and 71545?

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 71525 and 71545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71525 and 71545, than apply into the LCM equation.

GCF(71525,71545) = 5
LCM(71525,71545) = ( 71525 × 71545) / 5
LCM(71525,71545) = 5117256125 / 5
LCM(71525,71545) = 1023451225

Least Common Multiple (LCM) of 71525 and 71545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71525 and 71545. First we will calculate the prime factors of 71525 and 71545.

Prime Factorization of 71525

Prime Factorization of 71545

Now multiplying the highest exponent prime factors to calculate the LCM of 71525 and 71545.

LCM(71525,71545) = 5² × 2861¹ × 41¹ × 349¹
LCM(71525,71545) = 1023451225