What is the Least Common Multiple of 28574 and 28581?

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 28574 and 28581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28574 and 28581, than apply into the LCM equation.

GCF(28574,28581) = 7
LCM(28574,28581) = ( 28574 × 28581) / 7
LCM(28574,28581) = 816673494 / 7
LCM(28574,28581) = 116667642

Least Common Multiple (LCM) of 28574 and 28581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28574 and 28581. First we will calculate the prime factors of 28574 and 28581.

Prime Factorization of 28574

Prime Factorization of 28581

Now multiplying the highest exponent prime factors to calculate the LCM of 28574 and 28581.

LCM(28574,28581) = 2¹ × 7¹ × 13¹ × 157¹ × 3¹ × 1361¹
LCM(28574,28581) = 116667642