What is the Least Common Multiple of 2450 and 2462?

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 2450 and 2462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2450 and 2462, than apply into the LCM equation.

GCF(2450,2462) = 2
LCM(2450,2462) = ( 2450 × 2462) / 2
LCM(2450,2462) = 6031900 / 2
LCM(2450,2462) = 3015950

Least Common Multiple (LCM) of 2450 and 2462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2462. First we will calculate the prime factors of 2450 and 2462.

Prime Factorization of 2450

Prime Factorization of 2462

Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2462.

LCM(2450,2462) = 2¹ × 5² × 7² × 1231¹
LCM(2450,2462) = 3015950