What is the Least Common Multiple of 34983 and 35000?

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 34983 and 35000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34983 and 35000, than apply into the LCM equation.

GCF(34983,35000) = 1
LCM(34983,35000) = ( 34983 × 35000) / 1
LCM(34983,35000) = 1224405000 / 1
LCM(34983,35000) = 1224405000

Least Common Multiple (LCM) of 34983 and 35000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34983 and 35000. First we will calculate the prime factors of 34983 and 35000.

Prime Factorization of 34983

Prime Factorization of 35000

Now multiplying the highest exponent prime factors to calculate the LCM of 34983 and 35000.

LCM(34983,35000) = 3² × 13² × 23¹ × 2³ × 5⁴ × 7¹
LCM(34983,35000) = 1224405000