What is the Least Common Multiple of 32946 and 32963?

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 32946 and 32963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32946 and 32963, than apply into the LCM equation.

GCF(32946,32963) = 17
LCM(32946,32963) = ( 32946 × 32963) / 17
LCM(32946,32963) = 1085998998 / 17
LCM(32946,32963) = 63882294

Least Common Multiple (LCM) of 32946 and 32963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32946 and 32963. First we will calculate the prime factors of 32946 and 32963.

Prime Factorization of 32946

Prime Factorization of 32963

Now multiplying the highest exponent prime factors to calculate the LCM of 32946 and 32963.

LCM(32946,32963) = 2¹ × 3¹ × 17² × 19¹ × 7¹ × 277¹
LCM(32946,32963) = 63882294