What is the Least Common Multiple of 72946 and 72963?

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 72946 and 72963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72946 and 72963, than apply into the LCM equation.

GCF(72946,72963) = 1
LCM(72946,72963) = ( 72946 × 72963) / 1
LCM(72946,72963) = 5322358998 / 1
LCM(72946,72963) = 5322358998

Least Common Multiple (LCM) of 72946 and 72963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72946 and 72963. First we will calculate the prime factors of 72946 and 72963.

Prime Factorization of 72946

Prime Factorization of 72963

Now multiplying the highest exponent prime factors to calculate the LCM of 72946 and 72963.

LCM(72946,72963) = 2¹ × 36473¹ × 3² × 11² × 67¹
LCM(72946,72963) = 5322358998