What is the Least Common Multiple of 85141 and 85157?

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 85141 and 85157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85141 and 85157, than apply into the LCM equation.

GCF(85141,85157) = 1
LCM(85141,85157) = ( 85141 × 85157) / 1
LCM(85141,85157) = 7250352137 / 1
LCM(85141,85157) = 7250352137

Least Common Multiple (LCM) of 85141 and 85157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85141 and 85157. First we will calculate the prime factors of 85141 and 85157.

Prime Factorization of 85141

Prime Factorization of 85157

Now multiplying the highest exponent prime factors to calculate the LCM of 85141 and 85157.

LCM(85141,85157) = 7¹ × 12163¹ × 31¹ × 41¹ × 67¹
LCM(85141,85157) = 7250352137