What is the Least Common Multiple of 99216 and 99234?

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 99234 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 99234, than apply into the LCM equation.

GCF(99216,99234) = 18
LCM(99216,99234) = ( 99216 × 99234) / 18
LCM(99216,99234) = 9845600544 / 18
LCM(99216,99234) = 546977808

Least Common Multiple (LCM) of 99216 and 99234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99216 and 99234. First we will calculate the prime factors of 99216 and 99234.

Prime Factorization of 99216

Prime Factorization of 99234

Now multiplying the highest exponent prime factors to calculate the LCM of 99216 and 99234.

LCM(99216,99234) = 2⁴ × 3² × 13¹ × 53¹ × 37¹ × 149¹
LCM(99216,99234) = 546977808