What is the Least Common Multiple of 81567 and 81576?

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 81567 and 81576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81567 and 81576, than apply into the LCM equation.

GCF(81567,81576) = 9
LCM(81567,81576) = ( 81567 × 81576) / 9
LCM(81567,81576) = 6653909592 / 9
LCM(81567,81576) = 739323288

Least Common Multiple (LCM) of 81567 and 81576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81567 and 81576. First we will calculate the prime factors of 81567 and 81576.

Prime Factorization of 81567

Prime Factorization of 81576

Now multiplying the highest exponent prime factors to calculate the LCM of 81567 and 81576.

LCM(81567,81576) = 3⁴ × 19¹ × 53¹ × 2³ × 11¹ × 103¹
LCM(81567,81576) = 739323288