What is the Least Common Multiple of 34305 and 34312?

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 34305 and 34312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34305 and 34312, than apply into the LCM equation.

GCF(34305,34312) = 1
LCM(34305,34312) = ( 34305 × 34312) / 1
LCM(34305,34312) = 1177073160 / 1
LCM(34305,34312) = 1177073160

Least Common Multiple (LCM) of 34305 and 34312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34305 and 34312. First we will calculate the prime factors of 34305 and 34312.

Prime Factorization of 34305

Prime Factorization of 34312

Now multiplying the highest exponent prime factors to calculate the LCM of 34305 and 34312.

LCM(34305,34312) = 3¹ × 5¹ × 2287¹ × 2³ × 4289¹
LCM(34305,34312) = 1177073160