What is the Least Common Multiple of 57454 and 57462?

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 57454 and 57462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57454 and 57462, than apply into the LCM equation.

GCF(57454,57462) = 2
LCM(57454,57462) = ( 57454 × 57462) / 2
LCM(57454,57462) = 3301421748 / 2
LCM(57454,57462) = 1650710874

Least Common Multiple (LCM) of 57454 and 57462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57454 and 57462. First we will calculate the prime factors of 57454 and 57462.

Prime Factorization of 57454

Prime Factorization of 57462

Now multiplying the highest exponent prime factors to calculate the LCM of 57454 and 57462.

LCM(57454,57462) = 2¹ × 23¹ × 1249¹ × 3¹ × 61¹ × 157¹
LCM(57454,57462) = 1650710874