What is the Least Common Multiple of 15530 and 15538?

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 15530 and 15538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15530 and 15538, than apply into the LCM equation.

GCF(15530,15538) = 2
LCM(15530,15538) = ( 15530 × 15538) / 2
LCM(15530,15538) = 241305140 / 2
LCM(15530,15538) = 120652570

Least Common Multiple (LCM) of 15530 and 15538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15530 and 15538. First we will calculate the prime factors of 15530 and 15538.

Prime Factorization of 15530

Prime Factorization of 15538

Now multiplying the highest exponent prime factors to calculate the LCM of 15530 and 15538.

LCM(15530,15538) = 2¹ × 5¹ × 1553¹ × 17¹ × 457¹
LCM(15530,15538) = 120652570