What is the Least Common Multiple of 15540 and 15546?

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 15540 and 15546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15540 and 15546, than apply into the LCM equation.

GCF(15540,15546) = 6
LCM(15540,15546) = ( 15540 × 15546) / 6
LCM(15540,15546) = 241584840 / 6
LCM(15540,15546) = 40264140

Least Common Multiple (LCM) of 15540 and 15546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15540 and 15546. First we will calculate the prime factors of 15540 and 15546.

Prime Factorization of 15540

Prime Factorization of 15546

Now multiplying the highest exponent prime factors to calculate the LCM of 15540 and 15546.

LCM(15540,15546) = 2² × 3¹ × 5¹ × 7¹ × 37¹ × 2591¹
LCM(15540,15546) = 40264140