What is the Least Common Multiple of 15547 and 15564?

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 15547 and 15564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15547 and 15564, than apply into the LCM equation.

GCF(15547,15564) = 1
LCM(15547,15564) = ( 15547 × 15564) / 1
LCM(15547,15564) = 241973508 / 1
LCM(15547,15564) = 241973508

Least Common Multiple (LCM) of 15547 and 15564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15547 and 15564. First we will calculate the prime factors of 15547 and 15564.

Prime Factorization of 15547

Prime Factorization of 15564

Now multiplying the highest exponent prime factors to calculate the LCM of 15547 and 15564.

LCM(15547,15564) = 7¹ × 2221¹ × 2² × 3¹ × 1297¹
LCM(15547,15564) = 241973508