What is the Least Common Multiple of 86460 and 86472?

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 86460 and 86472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86460 and 86472, than apply into the LCM equation.

GCF(86460,86472) = 12
LCM(86460,86472) = ( 86460 × 86472) / 12
LCM(86460,86472) = 7476369120 / 12
LCM(86460,86472) = 623030760

Least Common Multiple (LCM) of 86460 and 86472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86460 and 86472. First we will calculate the prime factors of 86460 and 86472.

Prime Factorization of 86460

Prime Factorization of 86472

Now multiplying the highest exponent prime factors to calculate the LCM of 86460 and 86472.

LCM(86460,86472) = 2³ × 3² × 5¹ × 11¹ × 131¹ × 1201¹
LCM(86460,86472) = 623030760