What is the Least Common Multiple of 18525 and 18535?

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 18525 and 18535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18525 and 18535, than apply into the LCM equation.

GCF(18525,18535) = 5
LCM(18525,18535) = ( 18525 × 18535) / 5
LCM(18525,18535) = 343360875 / 5
LCM(18525,18535) = 68672175

Least Common Multiple (LCM) of 18525 and 18535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18525 and 18535. First we will calculate the prime factors of 18525 and 18535.

Prime Factorization of 18525

Prime Factorization of 18535

Now multiplying the highest exponent prime factors to calculate the LCM of 18525 and 18535.

LCM(18525,18535) = 3¹ × 5² × 13¹ × 19¹ × 11¹ × 337¹
LCM(18525,18535) = 68672175