GCF and LCM Calculator Logo

What is the Least Common Multiple of 12963 and 12978?

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 (LCM) of 12963 and 12978 is 56077938.

LCM(12963,12978) = 56077938

LCM Calculator and
and

Least Common Multiple of 12963 and 12978 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 12978, than apply into the LCM equation.

GCF(12963,12978) = 3
LCM(12963,12978) = ( 12963 × 12978) / 3
LCM(12963,12978) = 168233814 / 3
LCM(12963,12978) = 56077938

Least Common Multiple (LCM) of 12963 and 12978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12963 and 12978. First we will calculate the prime factors of 12963 and 12978.

Prime Factorization of 12963

Prime factors of 12963 are 3, 29, 149. Prime factorization of 12963 in exponential form is:

12963 = 31 × 291 × 1491

Prime Factorization of 12978

Prime factors of 12978 are 2, 3, 7, 103. Prime factorization of 12978 in exponential form is:

12978 = 21 × 32 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 12963 and 12978.

LCM(12963,12978) = 32 × 291 × 1491 × 21 × 71 × 1031
LCM(12963,12978) = 56077938