What is the Least Common Multiple of 34290 and 34303?

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 34290 and 34303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34290 and 34303, than apply into the LCM equation.

GCF(34290,34303) = 1
LCM(34290,34303) = ( 34290 × 34303) / 1
LCM(34290,34303) = 1176249870 / 1
LCM(34290,34303) = 1176249870

Least Common Multiple (LCM) of 34290 and 34303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34290 and 34303. First we will calculate the prime factors of 34290 and 34303.

Prime Factorization of 34290

Prime Factorization of 34303

Now multiplying the highest exponent prime factors to calculate the LCM of 34290 and 34303.

LCM(34290,34303) = 2¹ × 3³ × 5¹ × 127¹ × 34303¹
LCM(34290,34303) = 1176249870