What is the Least Common Multiple of 14514 and 14520?

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 14514 and 14520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14514 and 14520, than apply into the LCM equation.

GCF(14514,14520) = 6
LCM(14514,14520) = ( 14514 × 14520) / 6
LCM(14514,14520) = 210743280 / 6
LCM(14514,14520) = 35123880

Least Common Multiple (LCM) of 14514 and 14520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14514 and 14520. First we will calculate the prime factors of 14514 and 14520.

Prime Factorization of 14514

Prime Factorization of 14520

Now multiplying the highest exponent prime factors to calculate the LCM of 14514 and 14520.

LCM(14514,14520) = 2³ × 3¹ × 41¹ × 59¹ × 5¹ × 11²
LCM(14514,14520) = 35123880