What is the Least Common Multiple of 34863 and 34883?

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 34863 and 34883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34863 and 34883, than apply into the LCM equation.

GCF(34863,34883) = 1
LCM(34863,34883) = ( 34863 × 34883) / 1
LCM(34863,34883) = 1216126029 / 1
LCM(34863,34883) = 1216126029

Least Common Multiple (LCM) of 34863 and 34883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34863 and 34883. First we will calculate the prime factors of 34863 and 34883.

Prime Factorization of 34863

Prime Factorization of 34883

Now multiplying the highest exponent prime factors to calculate the LCM of 34863 and 34883.

LCM(34863,34883) = 3¹ × 11621¹ × 34883¹
LCM(34863,34883) = 1216126029