What is the Least Common Multiple of 15554 and 15565?

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 15554 and 15565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15554 and 15565, than apply into the LCM equation.

GCF(15554,15565) = 11
LCM(15554,15565) = ( 15554 × 15565) / 11
LCM(15554,15565) = 242098010 / 11
LCM(15554,15565) = 22008910

Least Common Multiple (LCM) of 15554 and 15565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15554 and 15565. First we will calculate the prime factors of 15554 and 15565.

Prime Factorization of 15554

Prime Factorization of 15565

Now multiplying the highest exponent prime factors to calculate the LCM of 15554 and 15565.

LCM(15554,15565) = 2¹ × 7¹ × 11¹ × 101¹ × 5¹ × 283¹
LCM(15554,15565) = 22008910