What is the Least Common Multiple of 71512 and 71530?

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 71512 and 71530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71512 and 71530, than apply into the LCM equation.

GCF(71512,71530) = 2
LCM(71512,71530) = ( 71512 × 71530) / 2
LCM(71512,71530) = 5115253360 / 2
LCM(71512,71530) = 2557626680

Least Common Multiple (LCM) of 71512 and 71530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71512 and 71530. First we will calculate the prime factors of 71512 and 71530.

Prime Factorization of 71512

Prime Factorization of 71530

Now multiplying the highest exponent prime factors to calculate the LCM of 71512 and 71530.

LCM(71512,71530) = 2³ × 7¹ × 1277¹ × 5¹ × 23¹ × 311¹
LCM(71512,71530) = 2557626680