What is the Least Common Multiple of 99332 and 99351?

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 99332 and 99351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99332 and 99351, than apply into the LCM equation.

GCF(99332,99351) = 19
LCM(99332,99351) = ( 99332 × 99351) / 19
LCM(99332,99351) = 9868733532 / 19
LCM(99332,99351) = 519407028

Least Common Multiple (LCM) of 99332 and 99351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99332 and 99351. First we will calculate the prime factors of 99332 and 99351.

Prime Factorization of 99332

Prime Factorization of 99351

Now multiplying the highest exponent prime factors to calculate the LCM of 99332 and 99351.

LCM(99332,99351) = 2² × 19¹ × 1307¹ × 3² × 7¹ × 83¹
LCM(99332,99351) = 519407028