What is the Least Common Multiple of 85136 and 85146?

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 85136 and 85146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85136 and 85146, than apply into the LCM equation.

GCF(85136,85146) = 2
LCM(85136,85146) = ( 85136 × 85146) / 2
LCM(85136,85146) = 7248989856 / 2
LCM(85136,85146) = 3624494928

Least Common Multiple (LCM) of 85136 and 85146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85136 and 85146. First we will calculate the prime factors of 85136 and 85146.

Prime Factorization of 85136

Prime Factorization of 85146

Now multiplying the highest exponent prime factors to calculate the LCM of 85136 and 85146.

LCM(85136,85146) = 2⁴ × 17¹ × 313¹ × 3¹ × 23¹ × 617¹
LCM(85136,85146) = 3624494928