What is the Least Common Multiple of 34856 and 34867?

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 34856 and 34867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34856 and 34867, than apply into the LCM equation.

GCF(34856,34867) = 1
LCM(34856,34867) = ( 34856 × 34867) / 1
LCM(34856,34867) = 1215324152 / 1
LCM(34856,34867) = 1215324152

Least Common Multiple (LCM) of 34856 and 34867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34856 and 34867. First we will calculate the prime factors of 34856 and 34867.

Prime Factorization of 34856

Prime Factorization of 34867

Now multiplying the highest exponent prime factors to calculate the LCM of 34856 and 34867.

LCM(34856,34867) = 2³ × 4357¹ × 7¹ × 17¹ × 293¹
LCM(34856,34867) = 1215324152