What is the Least Common Multiple of 34909 and 34913?

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 34909 and 34913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34909 and 34913, than apply into the LCM equation.

GCF(34909,34913) = 1
LCM(34909,34913) = ( 34909 × 34913) / 1
LCM(34909,34913) = 1218777917 / 1
LCM(34909,34913) = 1218777917

Least Common Multiple (LCM) of 34909 and 34913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34909 and 34913. First we will calculate the prime factors of 34909 and 34913.

Prime Factorization of 34909

Prime Factorization of 34913

Now multiplying the highest exponent prime factors to calculate the LCM of 34909 and 34913.

LCM(34909,34913) = 7¹ × 4987¹ × 34913¹
LCM(34909,34913) = 1218777917