What is the Least Common Multiple of 34788 and 34796?

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 34788 and 34796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34788 and 34796, than apply into the LCM equation.

GCF(34788,34796) = 4
LCM(34788,34796) = ( 34788 × 34796) / 4
LCM(34788,34796) = 1210483248 / 4
LCM(34788,34796) = 302620812

Least Common Multiple (LCM) of 34788 and 34796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34788 and 34796. First we will calculate the prime factors of 34788 and 34796.

Prime Factorization of 34788

Prime Factorization of 34796

Now multiplying the highest exponent prime factors to calculate the LCM of 34788 and 34796.

LCM(34788,34796) = 2² × 3¹ × 13¹ × 223¹ × 8699¹
LCM(34788,34796) = 302620812