What is the Least Common Multiple of 34847 and 34862?

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 34847 and 34862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34847 and 34862, than apply into the LCM equation.

GCF(34847,34862) = 1
LCM(34847,34862) = ( 34847 × 34862) / 1
LCM(34847,34862) = 1214836114 / 1
LCM(34847,34862) = 1214836114

Least Common Multiple (LCM) of 34847 and 34862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34847 and 34862. First we will calculate the prime factors of 34847 and 34862.

Prime Factorization of 34847

Prime Factorization of 34862

Now multiplying the highest exponent prime factors to calculate the LCM of 34847 and 34862.

LCM(34847,34862) = 34847¹ × 2¹ × 17431¹
LCM(34847,34862) = 1214836114