What is the Least Common Multiple of 86560 and 86574?

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 86560 and 86574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86560 and 86574, than apply into the LCM equation.

GCF(86560,86574) = 2
LCM(86560,86574) = ( 86560 × 86574) / 2
LCM(86560,86574) = 7493845440 / 2
LCM(86560,86574) = 3746922720

Least Common Multiple (LCM) of 86560 and 86574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86560 and 86574. First we will calculate the prime factors of 86560 and 86574.

Prime Factorization of 86560

Prime Factorization of 86574

Now multiplying the highest exponent prime factors to calculate the LCM of 86560 and 86574.

LCM(86560,86574) = 2⁵ × 5¹ × 541¹ × 3¹ × 47¹ × 307¹
LCM(86560,86574) = 3746922720