What is the Least Common Multiple of 34797 and 34812?

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 34797 and 34812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34797 and 34812, than apply into the LCM equation.

GCF(34797,34812) = 3
LCM(34797,34812) = ( 34797 × 34812) / 3
LCM(34797,34812) = 1211353164 / 3
LCM(34797,34812) = 403784388

Least Common Multiple (LCM) of 34797 and 34812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34797 and 34812. First we will calculate the prime factors of 34797 and 34812.

Prime Factorization of 34797

Prime Factorization of 34812

Now multiplying the highest exponent prime factors to calculate the LCM of 34797 and 34812.

LCM(34797,34812) = 3² × 7¹ × 1657¹ × 2² × 967¹
LCM(34797,34812) = 403784388