What is the Least Common Multiple of 15514 and 15520?

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 15514 and 15520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15514 and 15520, than apply into the LCM equation.

GCF(15514,15520) = 2
LCM(15514,15520) = ( 15514 × 15520) / 2
LCM(15514,15520) = 240777280 / 2
LCM(15514,15520) = 120388640

Least Common Multiple (LCM) of 15514 and 15520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15514 and 15520. First we will calculate the prime factors of 15514 and 15520.

Prime Factorization of 15514

Prime Factorization of 15520

Now multiplying the highest exponent prime factors to calculate the LCM of 15514 and 15520.

LCM(15514,15520) = 2⁵ × 7757¹ × 5¹ × 97¹
LCM(15514,15520) = 120388640