What is the Least Common Multiple of 86546 and 86560?

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 86546 and 86560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86546 and 86560, than apply into the LCM equation.

GCF(86546,86560) = 2
LCM(86546,86560) = ( 86546 × 86560) / 2
LCM(86546,86560) = 7491421760 / 2
LCM(86546,86560) = 3745710880

Least Common Multiple (LCM) of 86546 and 86560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86546 and 86560. First we will calculate the prime factors of 86546 and 86560.

Prime Factorization of 86546

Prime Factorization of 86560

Now multiplying the highest exponent prime factors to calculate the LCM of 86546 and 86560.

LCM(86546,86560) = 2⁵ × 109¹ × 397¹ × 5¹ × 541¹
LCM(86546,86560) = 3745710880