What is the Least Common Multiple of 34090 and 34095?

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 34090 and 34095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34090 and 34095, than apply into the LCM equation.

GCF(34090,34095) = 5
LCM(34090,34095) = ( 34090 × 34095) / 5
LCM(34090,34095) = 1162298550 / 5
LCM(34090,34095) = 232459710

Least Common Multiple (LCM) of 34090 and 34095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34090 and 34095. First we will calculate the prime factors of 34090 and 34095.

Prime Factorization of 34090

Prime Factorization of 34095

Now multiplying the highest exponent prime factors to calculate the LCM of 34090 and 34095.

LCM(34090,34095) = 2¹ × 5¹ × 7¹ × 487¹ × 3¹ × 2273¹
LCM(34090,34095) = 232459710