What is the Least Common Multiple of 2450 and 2465?

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 2465 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 2465, than apply into the LCM equation.

GCF(2450,2465) = 5
LCM(2450,2465) = ( 2450 × 2465) / 5
LCM(2450,2465) = 6039250 / 5
LCM(2450,2465) = 1207850

Least Common Multiple (LCM) of 2450 and 2465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2450 and 2465. First we will calculate the prime factors of 2450 and 2465.

Prime Factorization of 2450

Prime Factorization of 2465

Now multiplying the highest exponent prime factors to calculate the LCM of 2450 and 2465.

LCM(2450,2465) = 2¹ × 5² × 7² × 17¹ × 29¹
LCM(2450,2465) = 1207850