What is the Least Common Multiple of 34905 and 34917?

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 34905 and 34917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34905 and 34917, than apply into the LCM equation.

GCF(34905,34917) = 3
LCM(34905,34917) = ( 34905 × 34917) / 3
LCM(34905,34917) = 1218777885 / 3
LCM(34905,34917) = 406259295

Least Common Multiple (LCM) of 34905 and 34917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34905 and 34917. First we will calculate the prime factors of 34905 and 34917.

Prime Factorization of 34905

Prime Factorization of 34917

Now multiplying the highest exponent prime factors to calculate the LCM of 34905 and 34917.

LCM(34905,34917) = 3¹ × 5¹ × 13¹ × 179¹ × 103¹ × 113¹
LCM(34905,34917) = 406259295