What is the Least Common Multiple of 85160 and 85172?

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 85160 and 85172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85160 and 85172, than apply into the LCM equation.

GCF(85160,85172) = 4
LCM(85160,85172) = ( 85160 × 85172) / 4
LCM(85160,85172) = 7253247520 / 4
LCM(85160,85172) = 1813311880

Least Common Multiple (LCM) of 85160 and 85172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85160 and 85172. First we will calculate the prime factors of 85160 and 85172.

Prime Factorization of 85160

Prime Factorization of 85172

Now multiplying the highest exponent prime factors to calculate the LCM of 85160 and 85172.

LCM(85160,85172) = 2³ × 5¹ × 2129¹ × 107¹ × 199¹
LCM(85160,85172) = 1813311880