What is the Least Common Multiple of 35509 and 35525?

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 35509 and 35525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35509 and 35525, than apply into the LCM equation.

GCF(35509,35525) = 1
LCM(35509,35525) = ( 35509 × 35525) / 1
LCM(35509,35525) = 1261457225 / 1
LCM(35509,35525) = 1261457225

Least Common Multiple (LCM) of 35509 and 35525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35509 and 35525. First we will calculate the prime factors of 35509 and 35525.

Prime Factorization of 35509

Prime Factorization of 35525

Now multiplying the highest exponent prime factors to calculate the LCM of 35509 and 35525.

LCM(35509,35525) = 35509¹ × 5² × 7² × 29¹
LCM(35509,35525) = 1261457225