What is the Least Common Multiple of 99525 and 99534?

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 99525 and 99534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99525 and 99534, than apply into the LCM equation.

GCF(99525,99534) = 3
LCM(99525,99534) = ( 99525 × 99534) / 3
LCM(99525,99534) = 9906121350 / 3
LCM(99525,99534) = 3302040450

Least Common Multiple (LCM) of 99525 and 99534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99525 and 99534. First we will calculate the prime factors of 99525 and 99534.

Prime Factorization of 99525

Prime Factorization of 99534

Now multiplying the highest exponent prime factors to calculate the LCM of 99525 and 99534.

LCM(99525,99534) = 3¹ × 5² × 1327¹ × 2¹ × 53¹ × 313¹
LCM(99525,99534) = 3302040450