What is the Least Common Multiple of 85734 and 85748?

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 85734 and 85748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85734 and 85748, than apply into the LCM equation.

GCF(85734,85748) = 2
LCM(85734,85748) = ( 85734 × 85748) / 2
LCM(85734,85748) = 7351519032 / 2
LCM(85734,85748) = 3675759516

Least Common Multiple (LCM) of 85734 and 85748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85734 and 85748. First we will calculate the prime factors of 85734 and 85748.

Prime Factorization of 85734

Prime Factorization of 85748

Now multiplying the highest exponent prime factors to calculate the LCM of 85734 and 85748.

LCM(85734,85748) = 2² × 3² × 11¹ × 433¹ × 13¹ × 17¹ × 97¹
LCM(85734,85748) = 3675759516