What is the Least Common Multiple of 34291 and 34301?

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 34291 and 34301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34291 and 34301, than apply into the LCM equation.

GCF(34291,34301) = 1
LCM(34291,34301) = ( 34291 × 34301) / 1
LCM(34291,34301) = 1176215591 / 1
LCM(34291,34301) = 1176215591

Least Common Multiple (LCM) of 34291 and 34301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34291 and 34301. First we will calculate the prime factors of 34291 and 34301.

Prime Factorization of 34291

Prime Factorization of 34301

Now multiplying the highest exponent prime factors to calculate the LCM of 34291 and 34301.

LCM(34291,34301) = 53¹ × 647¹ × 34301¹
LCM(34291,34301) = 1176215591