What is the Least Common Multiple of 12454 and 12462?

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 12454 and 12462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12454 and 12462, than apply into the LCM equation.

GCF(12454,12462) = 2
LCM(12454,12462) = ( 12454 × 12462) / 2
LCM(12454,12462) = 155201748 / 2
LCM(12454,12462) = 77600874

Least Common Multiple (LCM) of 12454 and 12462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12454 and 12462. First we will calculate the prime factors of 12454 and 12462.

Prime Factorization of 12454

Prime Factorization of 12462

Now multiplying the highest exponent prime factors to calculate the LCM of 12454 and 12462.

LCM(12454,12462) = 2¹ × 13¹ × 479¹ × 3¹ × 31¹ × 67¹
LCM(12454,12462) = 77600874