What is the Least Common Multiple of 8574 and 8580?

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 8574 and 8580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8574 and 8580, than apply into the LCM equation.

GCF(8574,8580) = 6
LCM(8574,8580) = ( 8574 × 8580) / 6
LCM(8574,8580) = 73564920 / 6
LCM(8574,8580) = 12260820

Least Common Multiple (LCM) of 8574 and 8580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8580. First we will calculate the prime factors of 8574 and 8580.

Prime Factorization of 8574

Prime Factorization of 8580

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8580.

LCM(8574,8580) = 2² × 3¹ × 1429¹ × 5¹ × 11¹ × 13¹
LCM(8574,8580) = 12260820