What is the Least Common Multiple of 99501 and 99516?

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 99501 and 99516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99501 and 99516, than apply into the LCM equation.

GCF(99501,99516) = 3
LCM(99501,99516) = ( 99501 × 99516) / 3
LCM(99501,99516) = 9901941516 / 3
LCM(99501,99516) = 3300647172

Least Common Multiple (LCM) of 99501 and 99516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99501 and 99516. First we will calculate the prime factors of 99501 and 99516.

Prime Factorization of 99501

Prime Factorization of 99516

Now multiplying the highest exponent prime factors to calculate the LCM of 99501 and 99516.

LCM(99501,99516) = 3¹ × 17¹ × 1951¹ × 2² × 8293¹
LCM(99501,99516) = 3300647172