What is the Least Common Multiple of 92574 and 92580?

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 92574 and 92580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92574 and 92580, than apply into the LCM equation.

GCF(92574,92580) = 6
LCM(92574,92580) = ( 92574 × 92580) / 6
LCM(92574,92580) = 8570500920 / 6
LCM(92574,92580) = 1428416820

Least Common Multiple (LCM) of 92574 and 92580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92574 and 92580. First we will calculate the prime factors of 92574 and 92580.

Prime Factorization of 92574

Prime Factorization of 92580

Now multiplying the highest exponent prime factors to calculate the LCM of 92574 and 92580.

LCM(92574,92580) = 2² × 3² × 37¹ × 139¹ × 5¹ × 1543¹
LCM(92574,92580) = 1428416820