What is the Least Common Multiple of 58574 and 58580?

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 58574 and 58580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58574 and 58580, than apply into the LCM equation.

GCF(58574,58580) = 2
LCM(58574,58580) = ( 58574 × 58580) / 2
LCM(58574,58580) = 3431264920 / 2
LCM(58574,58580) = 1715632460

Least Common Multiple (LCM) of 58574 and 58580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58574 and 58580. First we will calculate the prime factors of 58574 and 58580.

Prime Factorization of 58574

Prime Factorization of 58580

Now multiplying the highest exponent prime factors to calculate the LCM of 58574 and 58580.

LCM(58574,58580) = 2² × 29287¹ × 5¹ × 29¹ × 101¹
LCM(58574,58580) = 1715632460