What is the Least Common Multiple of 86460 and 86464?

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 86464 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 86464, than apply into the LCM equation.

GCF(86460,86464) = 4
LCM(86460,86464) = ( 86460 × 86464) / 4
LCM(86460,86464) = 7475677440 / 4
LCM(86460,86464) = 1868919360

Least Common Multiple (LCM) of 86460 and 86464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86460 and 86464. First we will calculate the prime factors of 86460 and 86464.

Prime Factorization of 86460

Prime Factorization of 86464

Now multiplying the highest exponent prime factors to calculate the LCM of 86460 and 86464.

LCM(86460,86464) = 2⁶ × 3¹ × 5¹ × 11¹ × 131¹ × 7¹ × 193¹
LCM(86460,86464) = 1868919360