What is the Least Common Multiple of 93525 and 93540?

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 93525 and 93540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93525 and 93540, than apply into the LCM equation.

GCF(93525,93540) = 15
LCM(93525,93540) = ( 93525 × 93540) / 15
LCM(93525,93540) = 8748328500 / 15
LCM(93525,93540) = 583221900

Least Common Multiple (LCM) of 93525 and 93540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93525 and 93540. First we will calculate the prime factors of 93525 and 93540.

Prime Factorization of 93525

Prime Factorization of 93540

Now multiplying the highest exponent prime factors to calculate the LCM of 93525 and 93540.

LCM(93525,93540) = 3¹ × 5² × 29¹ × 43¹ × 2² × 1559¹
LCM(93525,93540) = 583221900