What is the Least Common Multiple of 34360 and 34371?

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 34371 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 34371, than apply into the LCM equation.

GCF(34360,34371) = 1
LCM(34360,34371) = ( 34360 × 34371) / 1
LCM(34360,34371) = 1180987560 / 1
LCM(34360,34371) = 1180987560

Least Common Multiple (LCM) of 34360 and 34371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34360 and 34371. First we will calculate the prime factors of 34360 and 34371.

Prime Factorization of 34360

Prime Factorization of 34371

Now multiplying the highest exponent prime factors to calculate the LCM of 34360 and 34371.

LCM(34360,34371) = 2³ × 5¹ × 859¹ × 3³ × 19¹ × 67¹
LCM(34360,34371) = 1180987560