What is the Least Common Multiple of 9525 and 9540?

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 9525 and 9540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9525 and 9540, than apply into the LCM equation.

GCF(9525,9540) = 15
LCM(9525,9540) = ( 9525 × 9540) / 15
LCM(9525,9540) = 90868500 / 15
LCM(9525,9540) = 6057900

Least Common Multiple (LCM) of 9525 and 9540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9525 and 9540. First we will calculate the prime factors of 9525 and 9540.

Prime Factorization of 9525

Prime Factorization of 9540

Now multiplying the highest exponent prime factors to calculate the LCM of 9525 and 9540.

LCM(9525,9540) = 3² × 5² × 127¹ × 2² × 53¹
LCM(9525,9540) = 6057900