What is the Least Common Multiple of 15946 and 15956?

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 15946 and 15956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15946 and 15956, than apply into the LCM equation.

GCF(15946,15956) = 2
LCM(15946,15956) = ( 15946 × 15956) / 2
LCM(15946,15956) = 254434376 / 2
LCM(15946,15956) = 127217188

Least Common Multiple (LCM) of 15946 and 15956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15946 and 15956. First we will calculate the prime factors of 15946 and 15956.

Prime Factorization of 15946

Prime Factorization of 15956

Now multiplying the highest exponent prime factors to calculate the LCM of 15946 and 15956.

LCM(15946,15956) = 2² × 7¹ × 17¹ × 67¹ × 3989¹
LCM(15946,15956) = 127217188