What is the Least Common Multiple of 14574 and 14580?

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 14574 and 14580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14574 and 14580, than apply into the LCM equation.

GCF(14574,14580) = 6
LCM(14574,14580) = ( 14574 × 14580) / 6
LCM(14574,14580) = 212488920 / 6
LCM(14574,14580) = 35414820

Least Common Multiple (LCM) of 14574 and 14580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14574 and 14580. First we will calculate the prime factors of 14574 and 14580.

Prime Factorization of 14574

Prime Factorization of 14580

Now multiplying the highest exponent prime factors to calculate the LCM of 14574 and 14580.

LCM(14574,14580) = 2² × 3⁶ × 7¹ × 347¹ × 5¹
LCM(14574,14580) = 35414820