What is the Least Common Multiple of 71538 and 71556?

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 71538 and 71556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71538 and 71556, than apply into the LCM equation.

GCF(71538,71556) = 6
LCM(71538,71556) = ( 71538 × 71556) / 6
LCM(71538,71556) = 5118973128 / 6
LCM(71538,71556) = 853162188

Least Common Multiple (LCM) of 71538 and 71556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71538 and 71556. First we will calculate the prime factors of 71538 and 71556.

Prime Factorization of 71538

Prime Factorization of 71556

Now multiplying the highest exponent prime factors to calculate the LCM of 71538 and 71556.

LCM(71538,71556) = 2² × 3¹ × 11923¹ × 67¹ × 89¹
LCM(71538,71556) = 853162188