What is the Least Common Multiple of 85632 and 85648?

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 85632 and 85648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85632 and 85648, than apply into the LCM equation.

GCF(85632,85648) = 16
LCM(85632,85648) = ( 85632 × 85648) / 16
LCM(85632,85648) = 7334209536 / 16
LCM(85632,85648) = 458388096

Least Common Multiple (LCM) of 85632 and 85648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85632 and 85648. First we will calculate the prime factors of 85632 and 85648.

Prime Factorization of 85632

Prime Factorization of 85648

Now multiplying the highest exponent prime factors to calculate the LCM of 85632 and 85648.

LCM(85632,85648) = 2⁷ × 3¹ × 223¹ × 53¹ × 101¹
LCM(85632,85648) = 458388096