What is the Least Common Multiple of 99348 and 99353?

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 99353 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 99353, than apply into the LCM equation.

GCF(99348,99353) = 1
LCM(99348,99353) = ( 99348 × 99353) / 1
LCM(99348,99353) = 9870521844 / 1
LCM(99348,99353) = 9870521844

Least Common Multiple (LCM) of 99348 and 99353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99348 and 99353. First we will calculate the prime factors of 99348 and 99353.

Prime Factorization of 99348

Prime Factorization of 99353

Now multiplying the highest exponent prime factors to calculate the LCM of 99348 and 99353.

LCM(99348,99353) = 2² × 3¹ × 17¹ × 487¹ × 73¹ × 1361¹
LCM(99348,99353) = 9870521844