What is the Least Common Multiple of 88560 and 88574?

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 88560 and 88574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88560 and 88574, than apply into the LCM equation.

GCF(88560,88574) = 2
LCM(88560,88574) = ( 88560 × 88574) / 2
LCM(88560,88574) = 7844113440 / 2
LCM(88560,88574) = 3922056720

Least Common Multiple (LCM) of 88560 and 88574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88560 and 88574. First we will calculate the prime factors of 88560 and 88574.

Prime Factorization of 88560

Prime Factorization of 88574

Now multiplying the highest exponent prime factors to calculate the LCM of 88560 and 88574.

LCM(88560,88574) = 2⁴ × 3³ × 5¹ × 41¹ × 67¹ × 661¹
LCM(88560,88574) = 3922056720