What is the Least Common Multiple of 99208 and 99216?

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 99208 and 99216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99208 and 99216, than apply into the LCM equation.

GCF(99208,99216) = 8
LCM(99208,99216) = ( 99208 × 99216) / 8
LCM(99208,99216) = 9843020928 / 8
LCM(99208,99216) = 1230377616

Least Common Multiple (LCM) of 99208 and 99216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99208 and 99216. First we will calculate the prime factors of 99208 and 99216.

Prime Factorization of 99208

Prime Factorization of 99216

Now multiplying the highest exponent prime factors to calculate the LCM of 99208 and 99216.

LCM(99208,99216) = 2⁴ × 12401¹ × 3² × 13¹ × 53¹
LCM(99208,99216) = 1230377616