What is the Least Common Multiple of 34295 and 34305?

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 34295 and 34305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34295 and 34305, than apply into the LCM equation.

GCF(34295,34305) = 5
LCM(34295,34305) = ( 34295 × 34305) / 5
LCM(34295,34305) = 1176489975 / 5
LCM(34295,34305) = 235297995

Least Common Multiple (LCM) of 34295 and 34305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34295 and 34305. First we will calculate the prime factors of 34295 and 34305.

Prime Factorization of 34295

Prime Factorization of 34305

Now multiplying the highest exponent prime factors to calculate the LCM of 34295 and 34305.

LCM(34295,34305) = 5¹ × 19³ × 3¹ × 2287¹
LCM(34295,34305) = 235297995