What is the Least Common Multiple of 96560 and 96574?

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 96560 and 96574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96560 and 96574, than apply into the LCM equation.

GCF(96560,96574) = 2
LCM(96560,96574) = ( 96560 × 96574) / 2
LCM(96560,96574) = 9325185440 / 2
LCM(96560,96574) = 4662592720

Least Common Multiple (LCM) of 96560 and 96574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96560 and 96574. First we will calculate the prime factors of 96560 and 96574.

Prime Factorization of 96560

Prime Factorization of 96574

Now multiplying the highest exponent prime factors to calculate the LCM of 96560 and 96574.

LCM(96560,96574) = 2⁴ × 5¹ × 17¹ × 71¹ × 109¹ × 443¹
LCM(96560,96574) = 4662592720