What is the Least Common Multiple of 34438 and 34450?

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 34438 and 34450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34438 and 34450, than apply into the LCM equation.

GCF(34438,34450) = 2
LCM(34438,34450) = ( 34438 × 34450) / 2
LCM(34438,34450) = 1186389100 / 2
LCM(34438,34450) = 593194550

Least Common Multiple (LCM) of 34438 and 34450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34438 and 34450. First we will calculate the prime factors of 34438 and 34450.

Prime Factorization of 34438

Prime Factorization of 34450

Now multiplying the highest exponent prime factors to calculate the LCM of 34438 and 34450.

LCM(34438,34450) = 2¹ × 67¹ × 257¹ × 5² × 13¹ × 53¹
LCM(34438,34450) = 593194550