What is the Least Common Multiple of 85624 and 85632?

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 85624 and 85632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85624 and 85632, than apply into the LCM equation.

GCF(85624,85632) = 8
LCM(85624,85632) = ( 85624 × 85632) / 8
LCM(85624,85632) = 7332154368 / 8
LCM(85624,85632) = 916519296

Least Common Multiple (LCM) of 85624 and 85632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85624 and 85632. First we will calculate the prime factors of 85624 and 85632.

Prime Factorization of 85624

Prime Factorization of 85632

Now multiplying the highest exponent prime factors to calculate the LCM of 85624 and 85632.

LCM(85624,85632) = 2⁷ × 7¹ × 11¹ × 139¹ × 3¹ × 223¹
LCM(85624,85632) = 916519296