What is the Least Common Multiple of 99497 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 99497 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 99497 and 99516, than apply into the LCM equation.

GCF(99497,99516) = 1
LCM(99497,99516) = ( 99497 × 99516) / 1
LCM(99497,99516) = 9901543452 / 1
LCM(99497,99516) = 9901543452

Least Common Multiple (LCM) of 99497 and 99516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99497 and 99516. First we will calculate the prime factors of 99497 and 99516.

Prime Factorization of 99497

Prime Factorization of 99516

Now multiplying the highest exponent prime factors to calculate the LCM of 99497 and 99516.

LCM(99497,99516) = 99497¹ × 2² × 3¹ × 8293¹
LCM(99497,99516) = 9901543452