What is the Least Common Multiple of 8570 and 8574?

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 8570 and 8574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8570 and 8574, than apply into the LCM equation.

GCF(8570,8574) = 2
LCM(8570,8574) = ( 8570 × 8574) / 2
LCM(8570,8574) = 73479180 / 2
LCM(8570,8574) = 36739590

Least Common Multiple (LCM) of 8570 and 8574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8570 and 8574. First we will calculate the prime factors of 8570 and 8574.

Prime Factorization of 8570

Prime Factorization of 8574

Now multiplying the highest exponent prime factors to calculate the LCM of 8570 and 8574.

LCM(8570,8574) = 2¹ × 5¹ × 857¹ × 3¹ × 1429¹
LCM(8570,8574) = 36739590