What is the Least Common Multiple of 34234 and 34251?

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 34234 and 34251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34234 and 34251, than apply into the LCM equation.

GCF(34234,34251) = 1
LCM(34234,34251) = ( 34234 × 34251) / 1
LCM(34234,34251) = 1172548734 / 1
LCM(34234,34251) = 1172548734

Least Common Multiple (LCM) of 34234 and 34251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34234 and 34251. First we will calculate the prime factors of 34234 and 34251.

Prime Factorization of 34234

Prime Factorization of 34251

Now multiplying the highest exponent prime factors to calculate the LCM of 34234 and 34251.

LCM(34234,34251) = 2¹ × 17117¹ × 3¹ × 7² × 233¹
LCM(34234,34251) = 1172548734