What is the Least Common Multiple of 9560 and 9574?

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 9560 and 9574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9560 and 9574, than apply into the LCM equation.

GCF(9560,9574) = 2
LCM(9560,9574) = ( 9560 × 9574) / 2
LCM(9560,9574) = 91527440 / 2
LCM(9560,9574) = 45763720

Least Common Multiple (LCM) of 9560 and 9574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9560 and 9574. First we will calculate the prime factors of 9560 and 9574.

Prime Factorization of 9560

Prime Factorization of 9574

Now multiplying the highest exponent prime factors to calculate the LCM of 9560 and 9574.

LCM(9560,9574) = 2³ × 5¹ × 239¹ × 4787¹
LCM(9560,9574) = 45763720