What is the Least Common Multiple of 34821 and 34828?

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 34828 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 34828, than apply into the LCM equation.

GCF(34821,34828) = 1
LCM(34821,34828) = ( 34821 × 34828) / 1
LCM(34821,34828) = 1212745788 / 1
LCM(34821,34828) = 1212745788

Least Common Multiple (LCM) of 34821 and 34828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34821 and 34828. First we will calculate the prime factors of 34821 and 34828.

Prime Factorization of 34821

Prime Factorization of 34828

Now multiplying the highest exponent prime factors to calculate the LCM of 34821 and 34828.

LCM(34821,34828) = 3² × 53¹ × 73¹ × 2² × 8707¹
LCM(34821,34828) = 1212745788