What is the Least Common Multiple of 71595 and 71612?

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 71595 and 71612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71595 and 71612, than apply into the LCM equation.

GCF(71595,71612) = 1
LCM(71595,71612) = ( 71595 × 71612) / 1
LCM(71595,71612) = 5127061140 / 1
LCM(71595,71612) = 5127061140

Least Common Multiple (LCM) of 71595 and 71612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71595 and 71612. First we will calculate the prime factors of 71595 and 71612.

Prime Factorization of 71595

Prime Factorization of 71612

Now multiplying the highest exponent prime factors to calculate the LCM of 71595 and 71612.

LCM(71595,71612) = 3² × 5¹ × 37¹ × 43¹ × 2² × 17903¹
LCM(71595,71612) = 5127061140