What is the Least Common Multiple of 85692 and 85704?

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 85692 and 85704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85692 and 85704, than apply into the LCM equation.

GCF(85692,85704) = 12
LCM(85692,85704) = ( 85692 × 85704) / 12
LCM(85692,85704) = 7344147168 / 12
LCM(85692,85704) = 612012264

Least Common Multiple (LCM) of 85692 and 85704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85692 and 85704. First we will calculate the prime factors of 85692 and 85704.

Prime Factorization of 85692

Prime Factorization of 85704

Now multiplying the highest exponent prime factors to calculate the LCM of 85692 and 85704.

LCM(85692,85704) = 2³ × 3¹ × 37¹ × 193¹ × 3571¹
LCM(85692,85704) = 612012264