What is the Least Common Multiple of 86454 and 86460?

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 86454 and 86460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86454 and 86460, than apply into the LCM equation.

GCF(86454,86460) = 6
LCM(86454,86460) = ( 86454 × 86460) / 6
LCM(86454,86460) = 7474812840 / 6
LCM(86454,86460) = 1245802140

Least Common Multiple (LCM) of 86454 and 86460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86454 and 86460. First we will calculate the prime factors of 86454 and 86460.

Prime Factorization of 86454

Prime Factorization of 86460

Now multiplying the highest exponent prime factors to calculate the LCM of 86454 and 86460.

LCM(86454,86460) = 2² × 3³ × 1601¹ × 5¹ × 11¹ × 131¹
LCM(86454,86460) = 1245802140