What is the Least Common Multiple of 86268 and 86280?

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 86280 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 86280, than apply into the LCM equation.

GCF(86268,86280) = 12
LCM(86268,86280) = ( 86268 × 86280) / 12
LCM(86268,86280) = 7443203040 / 12
LCM(86268,86280) = 620266920

Least Common Multiple (LCM) of 86268 and 86280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86268 and 86280. First we will calculate the prime factors of 86268 and 86280.

Prime Factorization of 86268

Prime Factorization of 86280

Now multiplying the highest exponent prime factors to calculate the LCM of 86268 and 86280.

LCM(86268,86280) = 2³ × 3¹ × 7¹ × 13¹ × 79¹ × 5¹ × 719¹
LCM(86268,86280) = 620266920