What is the Least Common Multiple of 86472 and 86476?

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 86472 and 86476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86472 and 86476, than apply into the LCM equation.

GCF(86472,86476) = 4
LCM(86472,86476) = ( 86472 × 86476) / 4
LCM(86472,86476) = 7477752672 / 4
LCM(86472,86476) = 1869438168

Least Common Multiple (LCM) of 86472 and 86476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86472 and 86476. First we will calculate the prime factors of 86472 and 86476.

Prime Factorization of 86472

Prime Factorization of 86476

Now multiplying the highest exponent prime factors to calculate the LCM of 86472 and 86476.

LCM(86472,86476) = 2³ × 3² × 1201¹ × 13¹ × 1663¹
LCM(86472,86476) = 1869438168