What is the Least Common Multiple of 35515 and 35530?

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 35515 and 35530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35515 and 35530, than apply into the LCM equation.

GCF(35515,35530) = 5
LCM(35515,35530) = ( 35515 × 35530) / 5
LCM(35515,35530) = 1261847950 / 5
LCM(35515,35530) = 252369590

Least Common Multiple (LCM) of 35515 and 35530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35515 and 35530. First we will calculate the prime factors of 35515 and 35530.

Prime Factorization of 35515

Prime Factorization of 35530

Now multiplying the highest exponent prime factors to calculate the LCM of 35515 and 35530.

LCM(35515,35530) = 5¹ × 7103¹ × 2¹ × 11¹ × 17¹ × 19¹
LCM(35515,35530) = 252369590