What is the Least Common Multiple of 86544 and 86550?

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 86544 and 86550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86544 and 86550, than apply into the LCM equation.

GCF(86544,86550) = 6
LCM(86544,86550) = ( 86544 × 86550) / 6
LCM(86544,86550) = 7490383200 / 6
LCM(86544,86550) = 1248397200

Least Common Multiple (LCM) of 86544 and 86550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86544 and 86550. First we will calculate the prime factors of 86544 and 86550.

Prime Factorization of 86544

Prime Factorization of 86550

Now multiplying the highest exponent prime factors to calculate the LCM of 86544 and 86550.

LCM(86544,86550) = 2⁴ × 3² × 601¹ × 5² × 577¹
LCM(86544,86550) = 1248397200