What is the Least Common Multiple of 86268 and 86288?

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 86268 and 86288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86268 and 86288, than apply into the LCM equation.

GCF(86268,86288) = 4
LCM(86268,86288) = ( 86268 × 86288) / 4
LCM(86268,86288) = 7443893184 / 4
LCM(86268,86288) = 1860973296

Least Common Multiple (LCM) of 86268 and 86288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86268 and 86288. First we will calculate the prime factors of 86268 and 86288.

Prime Factorization of 86268

Prime Factorization of 86288

Now multiplying the highest exponent prime factors to calculate the LCM of 86268 and 86288.

LCM(86268,86288) = 2⁴ × 3¹ × 7¹ × 13¹ × 79¹ × 5393¹
LCM(86268,86288) = 1860973296