What is the Least Common Multiple of 99510 and 99515?

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 99510 and 99515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99510 and 99515, than apply into the LCM equation.

GCF(99510,99515) = 5
LCM(99510,99515) = ( 99510 × 99515) / 5
LCM(99510,99515) = 9902737650 / 5
LCM(99510,99515) = 1980547530

Least Common Multiple (LCM) of 99510 and 99515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99510 and 99515. First we will calculate the prime factors of 99510 and 99515.

Prime Factorization of 99510

Prime Factorization of 99515

Now multiplying the highest exponent prime factors to calculate the LCM of 99510 and 99515.

LCM(99510,99515) = 2¹ × 3¹ × 5¹ × 31¹ × 107¹ × 13¹ × 1531¹
LCM(99510,99515) = 1980547530