What is the Least Common Multiple of 15534 and 15540?

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 15534 and 15540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15534 and 15540, than apply into the LCM equation.

GCF(15534,15540) = 6
LCM(15534,15540) = ( 15534 × 15540) / 6
LCM(15534,15540) = 241398360 / 6
LCM(15534,15540) = 40233060

Least Common Multiple (LCM) of 15534 and 15540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15534 and 15540. First we will calculate the prime factors of 15534 and 15540.

Prime Factorization of 15534

Prime Factorization of 15540

Now multiplying the highest exponent prime factors to calculate the LCM of 15534 and 15540.

LCM(15534,15540) = 2² × 3² × 863¹ × 5¹ × 7¹ × 37¹
LCM(15534,15540) = 40233060