What is the Least Common Multiple of 85724 and 85742?

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 85724 and 85742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85724 and 85742, than apply into the LCM equation.

GCF(85724,85742) = 2
LCM(85724,85742) = ( 85724 × 85742) / 2
LCM(85724,85742) = 7350147208 / 2
LCM(85724,85742) = 3675073604

Least Common Multiple (LCM) of 85724 and 85742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85724 and 85742. First we will calculate the prime factors of 85724 and 85742.

Prime Factorization of 85724

Prime Factorization of 85742

Now multiplying the highest exponent prime factors to calculate the LCM of 85724 and 85742.

LCM(85724,85742) = 2² × 29¹ × 739¹ × 43¹ × 997¹
LCM(85724,85742) = 3675073604