What is the Least Common Multiple of 34509 and 34517?

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 34509 and 34517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34509 and 34517, than apply into the LCM equation.

GCF(34509,34517) = 1
LCM(34509,34517) = ( 34509 × 34517) / 1
LCM(34509,34517) = 1191147153 / 1
LCM(34509,34517) = 1191147153

Least Common Multiple (LCM) of 34509 and 34517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34509 and 34517. First we will calculate the prime factors of 34509 and 34517.

Prime Factorization of 34509

Prime Factorization of 34517

Now multiplying the highest exponent prime factors to calculate the LCM of 34509 and 34517.

LCM(34509,34517) = 3¹ × 11503¹ × 7¹ × 4931¹
LCM(34509,34517) = 1191147153