What is the Least Common Multiple of 81588 and 81608?

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 81588 and 81608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81588 and 81608, than apply into the LCM equation.

GCF(81588,81608) = 4
LCM(81588,81608) = ( 81588 × 81608) / 4
LCM(81588,81608) = 6658233504 / 4
LCM(81588,81608) = 1664558376

Least Common Multiple (LCM) of 81588 and 81608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81588 and 81608. First we will calculate the prime factors of 81588 and 81608.

Prime Factorization of 81588

Prime Factorization of 81608

Now multiplying the highest exponent prime factors to calculate the LCM of 81588 and 81608.

LCM(81588,81608) = 2³ × 3¹ × 13¹ × 523¹ × 101²
LCM(81588,81608) = 1664558376