What is the Least Common Multiple of 15942 and 15960?

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 15942 and 15960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15942 and 15960, than apply into the LCM equation.

GCF(15942,15960) = 6
LCM(15942,15960) = ( 15942 × 15960) / 6
LCM(15942,15960) = 254434320 / 6
LCM(15942,15960) = 42405720

Least Common Multiple (LCM) of 15942 and 15960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15942 and 15960. First we will calculate the prime factors of 15942 and 15960.

Prime Factorization of 15942

Prime Factorization of 15960

Now multiplying the highest exponent prime factors to calculate the LCM of 15942 and 15960.

LCM(15942,15960) = 2³ × 3¹ × 2657¹ × 5¹ × 7¹ × 19¹
LCM(15942,15960) = 42405720