What is the Least Common Multiple of 99339 and 99348?

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 99339 and 99348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99339 and 99348, than apply into the LCM equation.

GCF(99339,99348) = 3
LCM(99339,99348) = ( 99339 × 99348) / 3
LCM(99339,99348) = 9869130972 / 3
LCM(99339,99348) = 3289710324

Least Common Multiple (LCM) of 99339 and 99348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99339 and 99348. First we will calculate the prime factors of 99339 and 99348.

Prime Factorization of 99339

Prime Factorization of 99348

Now multiplying the highest exponent prime factors to calculate the LCM of 99339 and 99348.

LCM(99339,99348) = 3¹ × 33113¹ × 2² × 17¹ × 487¹
LCM(99339,99348) = 3289710324