What is the Least Common Multiple of 12525 and 12535?

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 12525 and 12535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12525 and 12535, than apply into the LCM equation.

GCF(12525,12535) = 5
LCM(12525,12535) = ( 12525 × 12535) / 5
LCM(12525,12535) = 157000875 / 5
LCM(12525,12535) = 31400175

Least Common Multiple (LCM) of 12525 and 12535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12525 and 12535. First we will calculate the prime factors of 12525 and 12535.

Prime Factorization of 12525

Prime Factorization of 12535

Now multiplying the highest exponent prime factors to calculate the LCM of 12525 and 12535.

LCM(12525,12535) = 3¹ × 5² × 167¹ × 23¹ × 109¹
LCM(12525,12535) = 31400175