What is the Least Common Multiple of 15946 and 15963?

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 15963 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 15963, than apply into the LCM equation.

GCF(15946,15963) = 17
LCM(15946,15963) = ( 15946 × 15963) / 17
LCM(15946,15963) = 254545998 / 17
LCM(15946,15963) = 14973294

Least Common Multiple (LCM) of 15946 and 15963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15946 and 15963. First we will calculate the prime factors of 15946 and 15963.

Prime Factorization of 15946

Prime Factorization of 15963

Now multiplying the highest exponent prime factors to calculate the LCM of 15946 and 15963.

LCM(15946,15963) = 2¹ × 7¹ × 17¹ × 67¹ × 3¹ × 313¹
LCM(15946,15963) = 14973294