What is the Least Common Multiple of 34864 and 34869?

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 34864 and 34869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34864 and 34869, than apply into the LCM equation.

GCF(34864,34869) = 1
LCM(34864,34869) = ( 34864 × 34869) / 1
LCM(34864,34869) = 1215672816 / 1
LCM(34864,34869) = 1215672816

Least Common Multiple (LCM) of 34864 and 34869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34864 and 34869. First we will calculate the prime factors of 34864 and 34869.

Prime Factorization of 34864

Prime Factorization of 34869

Now multiplying the highest exponent prime factors to calculate the LCM of 34864 and 34869.

LCM(34864,34869) = 2⁴ × 2179¹ × 3¹ × 59¹ × 197¹
LCM(34864,34869) = 1215672816