What is the Least Common Multiple of 15561 and 15574?

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 15561 and 15574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15561 and 15574, than apply into the LCM equation.

GCF(15561,15574) = 13
LCM(15561,15574) = ( 15561 × 15574) / 13
LCM(15561,15574) = 242347014 / 13
LCM(15561,15574) = 18642078

Least Common Multiple (LCM) of 15561 and 15574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15561 and 15574. First we will calculate the prime factors of 15561 and 15574.

Prime Factorization of 15561

Prime Factorization of 15574

Now multiplying the highest exponent prime factors to calculate the LCM of 15561 and 15574.

LCM(15561,15574) = 3² × 7¹ × 13¹ × 19¹ × 2¹ × 599¹
LCM(15561,15574) = 18642078