What is the Least Common Multiple of 49205 and 49225?

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 49205 and 49225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49205 and 49225, than apply into the LCM equation.

GCF(49205,49225) = 5
LCM(49205,49225) = ( 49205 × 49225) / 5
LCM(49205,49225) = 2422116125 / 5
LCM(49205,49225) = 484423225

Least Common Multiple (LCM) of 49205 and 49225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49205 and 49225. First we will calculate the prime factors of 49205 and 49225.

Prime Factorization of 49205

Prime Factorization of 49225

Now multiplying the highest exponent prime factors to calculate the LCM of 49205 and 49225.

LCM(49205,49225) = 5² × 13¹ × 757¹ × 11¹ × 179¹
LCM(49205,49225) = 484423225