What is the Least Common Multiple of 85136 and 85140?

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 85140 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 85140, than apply into the LCM equation.

GCF(85136,85140) = 4
LCM(85136,85140) = ( 85136 × 85140) / 4
LCM(85136,85140) = 7248479040 / 4
LCM(85136,85140) = 1812119760

Least Common Multiple (LCM) of 85136 and 85140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85136 and 85140. First we will calculate the prime factors of 85136 and 85140.

Prime Factorization of 85136

Prime Factorization of 85140

Now multiplying the highest exponent prime factors to calculate the LCM of 85136 and 85140.

LCM(85136,85140) = 2⁴ × 17¹ × 313¹ × 3² × 5¹ × 11¹ × 43¹
LCM(85136,85140) = 1812119760