What is the Least Common Multiple of 49010 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 49010 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 49010 and 49025, than apply into the LCM equation.

GCF(49010,49025) = 5
LCM(49010,49025) = ( 49010 × 49025) / 5
LCM(49010,49025) = 2402715250 / 5
LCM(49010,49025) = 480543050

Least Common Multiple (LCM) of 49010 and 49025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49010 and 49025. First we will calculate the prime factors of 49010 and 49025.

Prime Factorization of 49010

Prime Factorization of 49025

Now multiplying the highest exponent prime factors to calculate the LCM of 49010 and 49025.

LCM(49010,49025) = 2¹ × 5² × 13² × 29¹ × 37¹ × 53¹
LCM(49010,49025) = 480543050