What is the Least Common Multiple of 85110 and 85128?

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 85110 and 85128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85110 and 85128, than apply into the LCM equation.

GCF(85110,85128) = 6
LCM(85110,85128) = ( 85110 × 85128) / 6
LCM(85110,85128) = 7245244080 / 6
LCM(85110,85128) = 1207540680

Least Common Multiple (LCM) of 85110 and 85128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85110 and 85128. First we will calculate the prime factors of 85110 and 85128.

Prime Factorization of 85110

Prime Factorization of 85128

Now multiplying the highest exponent prime factors to calculate the LCM of 85110 and 85128.

LCM(85110,85128) = 2³ × 3¹ × 5¹ × 2837¹ × 3547¹
LCM(85110,85128) = 1207540680