What is the Least Common Multiple of 15951 and 15969?

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 15951 and 15969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15951 and 15969, than apply into the LCM equation.

GCF(15951,15969) = 3
LCM(15951,15969) = ( 15951 × 15969) / 3
LCM(15951,15969) = 254721519 / 3
LCM(15951,15969) = 84907173

Least Common Multiple (LCM) of 15951 and 15969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15951 and 15969. First we will calculate the prime factors of 15951 and 15969.

Prime Factorization of 15951

Prime Factorization of 15969

Now multiplying the highest exponent prime factors to calculate the LCM of 15951 and 15969.

LCM(15951,15969) = 3¹ × 13¹ × 409¹ × 5323¹
LCM(15951,15969) = 84907173