What is the Least Common Multiple of 15946 and 15958?

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 15958 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 15958, than apply into the LCM equation.

GCF(15946,15958) = 2
LCM(15946,15958) = ( 15946 × 15958) / 2
LCM(15946,15958) = 254466268 / 2
LCM(15946,15958) = 127233134

Least Common Multiple (LCM) of 15946 and 15958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15946 and 15958. First we will calculate the prime factors of 15946 and 15958.

Prime Factorization of 15946

Prime Factorization of 15958

Now multiplying the highest exponent prime factors to calculate the LCM of 15946 and 15958.

LCM(15946,15958) = 2¹ × 7¹ × 17¹ × 67¹ × 79¹ × 101¹
LCM(15946,15958) = 127233134