What is the Least Common Multiple of 15538 and 15542?

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 15538 and 15542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15538 and 15542, than apply into the LCM equation.

GCF(15538,15542) = 2
LCM(15538,15542) = ( 15538 × 15542) / 2
LCM(15538,15542) = 241491596 / 2
LCM(15538,15542) = 120745798

Least Common Multiple (LCM) of 15538 and 15542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15538 and 15542. First we will calculate the prime factors of 15538 and 15542.

Prime Factorization of 15538

Prime Factorization of 15542

Now multiplying the highest exponent prime factors to calculate the LCM of 15538 and 15542.

LCM(15538,15542) = 2¹ × 17¹ × 457¹ × 19¹ × 409¹
LCM(15538,15542) = 120745798