What is the Least Common Multiple of 12514 and 12534?

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 12514 and 12534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12514 and 12534, than apply into the LCM equation.

GCF(12514,12534) = 2
LCM(12514,12534) = ( 12514 × 12534) / 2
LCM(12514,12534) = 156850476 / 2
LCM(12514,12534) = 78425238

Least Common Multiple (LCM) of 12514 and 12534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12514 and 12534. First we will calculate the prime factors of 12514 and 12534.

Prime Factorization of 12514

Prime Factorization of 12534

Now multiplying the highest exponent prime factors to calculate the LCM of 12514 and 12534.

LCM(12514,12534) = 2¹ × 6257¹ × 3¹ × 2089¹
LCM(12514,12534) = 78425238