What is the Least Common Multiple of 34083 and 34090?

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 34083 and 34090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34083 and 34090, than apply into the LCM equation.

GCF(34083,34090) = 7
LCM(34083,34090) = ( 34083 × 34090) / 7
LCM(34083,34090) = 1161889470 / 7
LCM(34083,34090) = 165984210

Least Common Multiple (LCM) of 34083 and 34090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34083 and 34090. First we will calculate the prime factors of 34083 and 34090.

Prime Factorization of 34083

Prime Factorization of 34090

Now multiplying the highest exponent prime factors to calculate the LCM of 34083 and 34090.

LCM(34083,34090) = 3² × 7¹ × 541¹ × 2¹ × 5¹ × 487¹
LCM(34083,34090) = 165984210