What is the Least Common Multiple of 34764 and 34771?

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 34764 and 34771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34764 and 34771, than apply into the LCM equation.

GCF(34764,34771) = 1
LCM(34764,34771) = ( 34764 × 34771) / 1
LCM(34764,34771) = 1208779044 / 1
LCM(34764,34771) = 1208779044

Least Common Multiple (LCM) of 34764 and 34771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34764 and 34771. First we will calculate the prime factors of 34764 and 34771.

Prime Factorization of 34764

Prime Factorization of 34771

Now multiplying the highest exponent prime factors to calculate the LCM of 34764 and 34771.

LCM(34764,34771) = 2² × 3¹ × 2897¹ × 11¹ × 29¹ × 109¹
LCM(34764,34771) = 1208779044