What is the Least Common Multiple of 56949 and 56963?

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 56949 and 56963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56949 and 56963, than apply into the LCM equation.

GCF(56949,56963) = 1
LCM(56949,56963) = ( 56949 × 56963) / 1
LCM(56949,56963) = 3243985887 / 1
LCM(56949,56963) = 3243985887

Least Common Multiple (LCM) of 56949 and 56963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56949 and 56963. First we will calculate the prime factors of 56949 and 56963.

Prime Factorization of 56949

Prime Factorization of 56963

Now multiplying the highest exponent prime factors to calculate the LCM of 56949 and 56963.

LCM(56949,56963) = 3¹ × 41¹ × 463¹ × 56963¹
LCM(56949,56963) = 3243985887