What is the Least Common Multiple of 85088 and 85104?

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 85088 and 85104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85088 and 85104, than apply into the LCM equation.

GCF(85088,85104) = 16
LCM(85088,85104) = ( 85088 × 85104) / 16
LCM(85088,85104) = 7241329152 / 16
LCM(85088,85104) = 452583072

Least Common Multiple (LCM) of 85088 and 85104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85088 and 85104. First we will calculate the prime factors of 85088 and 85104.

Prime Factorization of 85088

Prime Factorization of 85104

Now multiplying the highest exponent prime factors to calculate the LCM of 85088 and 85104.

LCM(85088,85104) = 2⁵ × 2659¹ × 3³ × 197¹
LCM(85088,85104) = 452583072