What is the Least Common Multiple of 49150 and 49169?

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 49150 and 49169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49150 and 49169, than apply into the LCM equation.

GCF(49150,49169) = 1
LCM(49150,49169) = ( 49150 × 49169) / 1
LCM(49150,49169) = 2416656350 / 1
LCM(49150,49169) = 2416656350

Least Common Multiple (LCM) of 49150 and 49169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49150 and 49169. First we will calculate the prime factors of 49150 and 49169.

Prime Factorization of 49150

Prime Factorization of 49169

Now multiplying the highest exponent prime factors to calculate the LCM of 49150 and 49169.

LCM(49150,49169) = 2¹ × 5² × 983¹ × 49169¹
LCM(49150,49169) = 2416656350