What is the Least Common Multiple of 12738 and 12758?

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 12738 and 12758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12738 and 12758, than apply into the LCM equation.

GCF(12738,12758) = 2
LCM(12738,12758) = ( 12738 × 12758) / 2
LCM(12738,12758) = 162511404 / 2
LCM(12738,12758) = 81255702

Least Common Multiple (LCM) of 12738 and 12758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12738 and 12758. First we will calculate the prime factors of 12738 and 12758.

Prime Factorization of 12738

Prime Factorization of 12758

Now multiplying the highest exponent prime factors to calculate the LCM of 12738 and 12758.

LCM(12738,12758) = 2¹ × 3¹ × 11¹ × 193¹ × 6379¹
LCM(12738,12758) = 81255702