What is the Least Common Multiple of 15960 and 15966?

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 15960 and 15966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15960 and 15966, than apply into the LCM equation.

GCF(15960,15966) = 6
LCM(15960,15966) = ( 15960 × 15966) / 6
LCM(15960,15966) = 254817360 / 6
LCM(15960,15966) = 42469560

Least Common Multiple (LCM) of 15960 and 15966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15960 and 15966. First we will calculate the prime factors of 15960 and 15966.

Prime Factorization of 15960

Prime Factorization of 15966

Now multiplying the highest exponent prime factors to calculate the LCM of 15960 and 15966.

LCM(15960,15966) = 2³ × 3² × 5¹ × 7¹ × 19¹ × 887¹
LCM(15960,15966) = 42469560