What is the Least Common Multiple of 85696 and 85706?

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 85696 and 85706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85696 and 85706, than apply into the LCM equation.

GCF(85696,85706) = 2
LCM(85696,85706) = ( 85696 × 85706) / 2
LCM(85696,85706) = 7344661376 / 2
LCM(85696,85706) = 3672330688

Least Common Multiple (LCM) of 85696 and 85706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85696 and 85706. First we will calculate the prime factors of 85696 and 85706.

Prime Factorization of 85696

Prime Factorization of 85706

Now multiplying the highest exponent prime factors to calculate the LCM of 85696 and 85706.

LCM(85696,85706) = 2⁶ × 13¹ × 103¹ × 42853¹
LCM(85696,85706) = 3672330688