What is the Least Common Multiple of 4560 and 4574?

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 4560 and 4574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4560 and 4574, than apply into the LCM equation.

GCF(4560,4574) = 2
LCM(4560,4574) = ( 4560 × 4574) / 2
LCM(4560,4574) = 20857440 / 2
LCM(4560,4574) = 10428720

Least Common Multiple (LCM) of 4560 and 4574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4560 and 4574. First we will calculate the prime factors of 4560 and 4574.

Prime Factorization of 4560

Prime Factorization of 4574

Now multiplying the highest exponent prime factors to calculate the LCM of 4560 and 4574.

LCM(4560,4574) = 2⁴ × 3¹ × 5¹ × 19¹ × 2287¹
LCM(4560,4574) = 10428720