What is the Least Common Multiple of 85096 and 85113?

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 85096 and 85113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85096 and 85113, than apply into the LCM equation.

GCF(85096,85113) = 1
LCM(85096,85113) = ( 85096 × 85113) / 1
LCM(85096,85113) = 7242775848 / 1
LCM(85096,85113) = 7242775848

Least Common Multiple (LCM) of 85096 and 85113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85096 and 85113. First we will calculate the prime factors of 85096 and 85113.

Prime Factorization of 85096

Prime Factorization of 85113

Now multiplying the highest exponent prime factors to calculate the LCM of 85096 and 85113.

LCM(85096,85113) = 2³ × 11¹ × 967¹ × 3² × 7² × 193¹
LCM(85096,85113) = 7242775848