What is the Least Common Multiple of 83574 and 83580?

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 83574 and 83580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83574 and 83580, than apply into the LCM equation.

GCF(83574,83580) = 6
LCM(83574,83580) = ( 83574 × 83580) / 6
LCM(83574,83580) = 6985114920 / 6
LCM(83574,83580) = 1164185820

Least Common Multiple (LCM) of 83574 and 83580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83574 and 83580. First we will calculate the prime factors of 83574 and 83580.

Prime Factorization of 83574

Prime Factorization of 83580

Now multiplying the highest exponent prime factors to calculate the LCM of 83574 and 83580.

LCM(83574,83580) = 2² × 3² × 4643¹ × 5¹ × 7¹ × 199¹
LCM(83574,83580) = 1164185820