What is the Least Common Multiple of 34238 and 34255?

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 34238 and 34255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34238 and 34255, than apply into the LCM equation.

GCF(34238,34255) = 17
LCM(34238,34255) = ( 34238 × 34255) / 17
LCM(34238,34255) = 1172822690 / 17
LCM(34238,34255) = 68989570

Least Common Multiple (LCM) of 34238 and 34255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34238 and 34255. First we will calculate the prime factors of 34238 and 34255.

Prime Factorization of 34238

Prime Factorization of 34255

Now multiplying the highest exponent prime factors to calculate the LCM of 34238 and 34255.

LCM(34238,34255) = 2¹ × 17¹ × 19¹ × 53¹ × 5¹ × 13¹ × 31¹
LCM(34238,34255) = 68989570