What is the Least Common Multiple of 7946 and 7963?

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 7946 and 7963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7946 and 7963, than apply into the LCM equation.

GCF(7946,7963) = 1
LCM(7946,7963) = ( 7946 × 7963) / 1
LCM(7946,7963) = 63273998 / 1
LCM(7946,7963) = 63273998

Least Common Multiple (LCM) of 7946 and 7963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7946 and 7963. First we will calculate the prime factors of 7946 and 7963.

Prime Factorization of 7946

Prime Factorization of 7963

Now multiplying the highest exponent prime factors to calculate the LCM of 7946 and 7963.

LCM(7946,7963) = 2¹ × 29¹ × 137¹ × 7963¹
LCM(7946,7963) = 63273998