What is the Least Common Multiple of 85724 and 85739?

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 85739 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 85739, than apply into the LCM equation.

GCF(85724,85739) = 1
LCM(85724,85739) = ( 85724 × 85739) / 1
LCM(85724,85739) = 7349890036 / 1
LCM(85724,85739) = 7349890036

Least Common Multiple (LCM) of 85724 and 85739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85724 and 85739. First we will calculate the prime factors of 85724 and 85739.

Prime Factorization of 85724

Prime Factorization of 85739

Now multiplying the highest exponent prime factors to calculate the LCM of 85724 and 85739.

LCM(85724,85739) = 2² × 29¹ × 739¹ × 83¹ × 1033¹
LCM(85724,85739) = 7349890036