What is the Least Common Multiple of 99216 and 99229?

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 99216 and 99229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99216 and 99229, than apply into the LCM equation.

GCF(99216,99229) = 13
LCM(99216,99229) = ( 99216 × 99229) / 13
LCM(99216,99229) = 9845104464 / 13
LCM(99216,99229) = 757315728

Least Common Multiple (LCM) of 99216 and 99229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99216 and 99229. First we will calculate the prime factors of 99216 and 99229.

Prime Factorization of 99216

Prime Factorization of 99229

Now multiplying the highest exponent prime factors to calculate the LCM of 99216 and 99229.

LCM(99216,99229) = 2⁴ × 3² × 13¹ × 53¹ × 17¹ × 449¹
LCM(99216,99229) = 757315728