What is the Least Common Multiple of 49006 and 49025?

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 49006 and 49025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49006 and 49025, than apply into the LCM equation.

GCF(49006,49025) = 1
LCM(49006,49025) = ( 49006 × 49025) / 1
LCM(49006,49025) = 2402519150 / 1
LCM(49006,49025) = 2402519150

Least Common Multiple (LCM) of 49006 and 49025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49006 and 49025. First we will calculate the prime factors of 49006 and 49025.

Prime Factorization of 49006

Prime Factorization of 49025

Now multiplying the highest exponent prime factors to calculate the LCM of 49006 and 49025.

LCM(49006,49025) = 2¹ × 107¹ × 229¹ × 5² × 37¹ × 53¹
LCM(49006,49025) = 2402519150