What is the Least Common Multiple of 34503 and 34508?

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 34503 and 34508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34503 and 34508, than apply into the LCM equation.

GCF(34503,34508) = 1
LCM(34503,34508) = ( 34503 × 34508) / 1
LCM(34503,34508) = 1190629524 / 1
LCM(34503,34508) = 1190629524

Least Common Multiple (LCM) of 34503 and 34508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34503 and 34508. First we will calculate the prime factors of 34503 and 34508.

Prime Factorization of 34503

Prime Factorization of 34508

Now multiplying the highest exponent prime factors to calculate the LCM of 34503 and 34508.

LCM(34503,34508) = 3¹ × 7¹ × 31¹ × 53¹ × 2² × 8627¹
LCM(34503,34508) = 1190629524