What is the Least Common Multiple of 99495 and 99510?

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 99495 and 99510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99495 and 99510, than apply into the LCM equation.

GCF(99495,99510) = 15
LCM(99495,99510) = ( 99495 × 99510) / 15
LCM(99495,99510) = 9900747450 / 15
LCM(99495,99510) = 660049830

Least Common Multiple (LCM) of 99495 and 99510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99495 and 99510. First we will calculate the prime factors of 99495 and 99510.

Prime Factorization of 99495

Prime Factorization of 99510

Now multiplying the highest exponent prime factors to calculate the LCM of 99495 and 99510.

LCM(99495,99510) = 3³ × 5¹ × 11¹ × 67¹ × 2¹ × 31¹ × 107¹
LCM(99495,99510) = 660049830