What is the Least Common Multiple of 12963 and 12972?

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 12963 and 12972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12963 and 12972, than apply into the LCM equation.

GCF(12963,12972) = 3
LCM(12963,12972) = ( 12963 × 12972) / 3
LCM(12963,12972) = 168156036 / 3
LCM(12963,12972) = 56052012

Least Common Multiple (LCM) of 12963 and 12972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12963 and 12972. First we will calculate the prime factors of 12963 and 12972.

Prime Factorization of 12963

Prime Factorization of 12972

Now multiplying the highest exponent prime factors to calculate the LCM of 12963 and 12972.

LCM(12963,12972) = 3¹ × 29¹ × 149¹ × 2² × 23¹ × 47¹
LCM(12963,12972) = 56052012