What is the Least Common Multiple of 85138 and 85151?

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 85138 and 85151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85138 and 85151, than apply into the LCM equation.

GCF(85138,85151) = 1
LCM(85138,85151) = ( 85138 × 85151) / 1
LCM(85138,85151) = 7249585838 / 1
LCM(85138,85151) = 7249585838

Least Common Multiple (LCM) of 85138 and 85151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85138 and 85151. First we will calculate the prime factors of 85138 and 85151.

Prime Factorization of 85138

Prime Factorization of 85151

Now multiplying the highest exponent prime factors to calculate the LCM of 85138 and 85151.

LCM(85138,85151) = 2¹ × 42569¹ × 11¹ × 7741¹
LCM(85138,85151) = 7249585838