What is the Least Common Multiple of 34821 and 34834?

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 34821 and 34834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34821 and 34834, than apply into the LCM equation.

GCF(34821,34834) = 1
LCM(34821,34834) = ( 34821 × 34834) / 1
LCM(34821,34834) = 1212954714 / 1
LCM(34821,34834) = 1212954714

Least Common Multiple (LCM) of 34821 and 34834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34821 and 34834. First we will calculate the prime factors of 34821 and 34834.

Prime Factorization of 34821

Prime Factorization of 34834

Now multiplying the highest exponent prime factors to calculate the LCM of 34821 and 34834.

LCM(34821,34834) = 3² × 53¹ × 73¹ × 2¹ × 17417¹
LCM(34821,34834) = 1212954714