What is the Least Common Multiple of 28564 and 28574?

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 28564 and 28574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28564 and 28574, than apply into the LCM equation.

GCF(28564,28574) = 2
LCM(28564,28574) = ( 28564 × 28574) / 2
LCM(28564,28574) = 816187736 / 2
LCM(28564,28574) = 408093868

Least Common Multiple (LCM) of 28564 and 28574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28564 and 28574. First we will calculate the prime factors of 28564 and 28574.

Prime Factorization of 28564

Prime Factorization of 28574

Now multiplying the highest exponent prime factors to calculate the LCM of 28564 and 28574.

LCM(28564,28574) = 2² × 37¹ × 193¹ × 7¹ × 13¹ × 157¹
LCM(28564,28574) = 408093868