What is the Least Common Multiple of 99348 and 99361?

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 99348 and 99361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99348 and 99361, than apply into the LCM equation.

GCF(99348,99361) = 1
LCM(99348,99361) = ( 99348 × 99361) / 1
LCM(99348,99361) = 9871316628 / 1
LCM(99348,99361) = 9871316628

Least Common Multiple (LCM) of 99348 and 99361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99348 and 99361. First we will calculate the prime factors of 99348 and 99361.

Prime Factorization of 99348

Prime Factorization of 99361

Now multiplying the highest exponent prime factors to calculate the LCM of 99348 and 99361.

LCM(99348,99361) = 2² × 3¹ × 17¹ × 487¹ × 67¹ × 1483¹
LCM(99348,99361) = 9871316628