What is the Least Common Multiple of 8946 and 8963?

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 8946 and 8963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8946 and 8963, than apply into the LCM equation.

GCF(8946,8963) = 1
LCM(8946,8963) = ( 8946 × 8963) / 1
LCM(8946,8963) = 80182998 / 1
LCM(8946,8963) = 80182998

Least Common Multiple (LCM) of 8946 and 8963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8946 and 8963. First we will calculate the prime factors of 8946 and 8963.

Prime Factorization of 8946

Prime Factorization of 8963

Now multiplying the highest exponent prime factors to calculate the LCM of 8946 and 8963.

LCM(8946,8963) = 2¹ × 3² × 7¹ × 71¹ × 8963¹
LCM(8946,8963) = 80182998