What is the Least Common Multiple of 2450 and 2459?

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 2459 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 2459, than apply into the LCM equation.

GCF(2450,2459) = 1
LCM(2450,2459) = ( 2450 × 2459) / 1
LCM(2450,2459) = 6024550 / 1
LCM(2450,2459) = 6024550

Least Common Multiple (LCM) of 2450 and 2459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2459. First we will calculate the prime factors of 2450 and 2459.

Prime Factorization of 2450

Prime Factorization of 2459

Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2459.

LCM(2450,2459) = 2¹ × 5² × 7² × 2459¹
LCM(2450,2459) = 6024550