What is the Least Common Multiple of 15960 and 15965?

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 15965 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 15965, than apply into the LCM equation.

GCF(15960,15965) = 5
LCM(15960,15965) = ( 15960 × 15965) / 5
LCM(15960,15965) = 254801400 / 5
LCM(15960,15965) = 50960280

Least Common Multiple (LCM) of 15960 and 15965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15960 and 15965. First we will calculate the prime factors of 15960 and 15965.

Prime Factorization of 15960

Prime Factorization of 15965

Now multiplying the highest exponent prime factors to calculate the LCM of 15960 and 15965.

LCM(15960,15965) = 2³ × 3¹ × 5¹ × 7¹ × 19¹ × 31¹ × 103¹
LCM(15960,15965) = 50960280