What is the Least Common Multiple of 81538 and 81552?

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 81538 and 81552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81538 and 81552, than apply into the LCM equation.

GCF(81538,81552) = 2
LCM(81538,81552) = ( 81538 × 81552) / 2
LCM(81538,81552) = 6649586976 / 2
LCM(81538,81552) = 3324793488

Least Common Multiple (LCM) of 81538 and 81552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81538 and 81552. First we will calculate the prime factors of 81538 and 81552.

Prime Factorization of 81538

Prime Factorization of 81552

Now multiplying the highest exponent prime factors to calculate the LCM of 81538 and 81552.

LCM(81538,81552) = 2⁴ × 59¹ × 691¹ × 3¹ × 1699¹
LCM(81538,81552) = 3324793488