What is the Least Common Multiple of 99346 and 99365?

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 99346 and 99365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99346 and 99365, than apply into the LCM equation.

GCF(99346,99365) = 1
LCM(99346,99365) = ( 99346 × 99365) / 1
LCM(99346,99365) = 9871515290 / 1
LCM(99346,99365) = 9871515290

Least Common Multiple (LCM) of 99346 and 99365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99346 and 99365. First we will calculate the prime factors of 99346 and 99365.

Prime Factorization of 99346

Prime Factorization of 99365

Now multiplying the highest exponent prime factors to calculate the LCM of 99346 and 99365.

LCM(99346,99365) = 2¹ × 13¹ × 3821¹ × 5¹ × 7¹ × 17¹ × 167¹
LCM(99346,99365) = 9871515290