What is the Least Common Multiple of 34360 and 34365?

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 34360 and 34365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34360 and 34365, than apply into the LCM equation.

GCF(34360,34365) = 5
LCM(34360,34365) = ( 34360 × 34365) / 5
LCM(34360,34365) = 1180781400 / 5
LCM(34360,34365) = 236156280

Least Common Multiple (LCM) of 34360 and 34365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34360 and 34365. First we will calculate the prime factors of 34360 and 34365.

Prime Factorization of 34360

Prime Factorization of 34365

Now multiplying the highest exponent prime factors to calculate the LCM of 34360 and 34365.

LCM(34360,34365) = 2³ × 5¹ × 859¹ × 3¹ × 29¹ × 79¹
LCM(34360,34365) = 236156280