What is the Least Common Multiple of 85528 and 85546?

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 85528 and 85546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85528 and 85546, than apply into the LCM equation.

GCF(85528,85546) = 2
LCM(85528,85546) = ( 85528 × 85546) / 2
LCM(85528,85546) = 7316578288 / 2
LCM(85528,85546) = 3658289144

Least Common Multiple (LCM) of 85528 and 85546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85528 and 85546. First we will calculate the prime factors of 85528 and 85546.

Prime Factorization of 85528

Prime Factorization of 85546

Now multiplying the highest exponent prime factors to calculate the LCM of 85528 and 85546.

LCM(85528,85546) = 2³ × 10691¹ × 42773¹
LCM(85528,85546) = 3658289144