What is the Least Common Multiple of 71564 and 71578?

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 71564 and 71578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71564 and 71578, than apply into the LCM equation.

GCF(71564,71578) = 2
LCM(71564,71578) = ( 71564 × 71578) / 2
LCM(71564,71578) = 5122407992 / 2
LCM(71564,71578) = 2561203996

Least Common Multiple (LCM) of 71564 and 71578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71564 and 71578. First we will calculate the prime factors of 71564 and 71578.

Prime Factorization of 71564

Prime Factorization of 71578

Now multiplying the highest exponent prime factors to calculate the LCM of 71564 and 71578.

LCM(71564,71578) = 2² × 17891¹ × 13¹ × 2753¹
LCM(71564,71578) = 2561203996