What is the Least Common Multiple of 36509 and 36525?

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 36509 and 36525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36509 and 36525, than apply into the LCM equation.

GCF(36509,36525) = 1
LCM(36509,36525) = ( 36509 × 36525) / 1
LCM(36509,36525) = 1333491225 / 1
LCM(36509,36525) = 1333491225

Least Common Multiple (LCM) of 36509 and 36525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36509 and 36525. First we will calculate the prime factors of 36509 and 36525.

Prime Factorization of 36509

Prime Factorization of 36525

Now multiplying the highest exponent prime factors to calculate the LCM of 36509 and 36525.

LCM(36509,36525) = 11¹ × 3319¹ × 3¹ × 5² × 487¹
LCM(36509,36525) = 1333491225