What is the Least Common Multiple of 14564 and 14579?

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 14564 and 14579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14564 and 14579, than apply into the LCM equation.

GCF(14564,14579) = 1
LCM(14564,14579) = ( 14564 × 14579) / 1
LCM(14564,14579) = 212328556 / 1
LCM(14564,14579) = 212328556

Least Common Multiple (LCM) of 14564 and 14579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14564 and 14579. First we will calculate the prime factors of 14564 and 14579.

Prime Factorization of 14564

Prime Factorization of 14579

Now multiplying the highest exponent prime factors to calculate the LCM of 14564 and 14579.

LCM(14564,14579) = 2² × 11¹ × 331¹ × 61¹ × 239¹
LCM(14564,14579) = 212328556