What is the Least Common Multiple of 71544 and 71548?

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 71544 and 71548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71544 and 71548, than apply into the LCM equation.

GCF(71544,71548) = 4
LCM(71544,71548) = ( 71544 × 71548) / 4
LCM(71544,71548) = 5118830112 / 4
LCM(71544,71548) = 1279707528

Least Common Multiple (LCM) of 71544 and 71548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71544 and 71548. First we will calculate the prime factors of 71544 and 71548.

Prime Factorization of 71544

Prime Factorization of 71548

Now multiplying the highest exponent prime factors to calculate the LCM of 71544 and 71548.

LCM(71544,71548) = 2³ × 3¹ × 11¹ × 271¹ × 31¹ × 577¹
LCM(71544,71548) = 1279707528