What is the Least Common Multiple of 86160 and 86176?

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 86160 and 86176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86160 and 86176, than apply into the LCM equation.

GCF(86160,86176) = 16
LCM(86160,86176) = ( 86160 × 86176) / 16
LCM(86160,86176) = 7424924160 / 16
LCM(86160,86176) = 464057760

Least Common Multiple (LCM) of 86160 and 86176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86160 and 86176. First we will calculate the prime factors of 86160 and 86176.

Prime Factorization of 86160

Prime Factorization of 86176

Now multiplying the highest exponent prime factors to calculate the LCM of 86160 and 86176.

LCM(86160,86176) = 2⁵ × 3¹ × 5¹ × 359¹ × 2693¹
LCM(86160,86176) = 464057760