What is the Least Common Multiple of 34290 and 34302?

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 34302 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 34302, than apply into the LCM equation.

GCF(34290,34302) = 6
LCM(34290,34302) = ( 34290 × 34302) / 6
LCM(34290,34302) = 1176215580 / 6
LCM(34290,34302) = 196035930

Least Common Multiple (LCM) of 34290 and 34302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34290 and 34302. First we will calculate the prime factors of 34290 and 34302.

Prime Factorization of 34290

Prime Factorization of 34302

Now multiplying the highest exponent prime factors to calculate the LCM of 34290 and 34302.

LCM(34290,34302) = 2¹ × 3³ × 5¹ × 127¹ × 5717¹
LCM(34290,34302) = 196035930