What is the Least Common Multiple of 85123 and 85138?

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 85123 and 85138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85123 and 85138, than apply into the LCM equation.

GCF(85123,85138) = 1
LCM(85123,85138) = ( 85123 × 85138) / 1
LCM(85123,85138) = 7247201974 / 1
LCM(85123,85138) = 7247201974

Least Common Multiple (LCM) of 85123 and 85138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85123 and 85138. First we will calculate the prime factors of 85123 and 85138.

Prime Factorization of 85123

Prime Factorization of 85138

Now multiplying the highest exponent prime factors to calculate the LCM of 85123 and 85138.

LCM(85123,85138) = 23¹ × 3701¹ × 2¹ × 42569¹
LCM(85123,85138) = 7247201974