What is the Least Common Multiple of 99344 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 99344 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 99344 and 99348, than apply into the LCM equation.

GCF(99344,99348) = 4
LCM(99344,99348) = ( 99344 × 99348) / 4
LCM(99344,99348) = 9869627712 / 4
LCM(99344,99348) = 2467406928

Least Common Multiple (LCM) of 99344 and 99348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99344 and 99348. First we will calculate the prime factors of 99344 and 99348.

Prime Factorization of 99344

Prime Factorization of 99348

Now multiplying the highest exponent prime factors to calculate the LCM of 99344 and 99348.

LCM(99344,99348) = 2⁴ × 7¹ × 887¹ × 3¹ × 17¹ × 487¹
LCM(99344,99348) = 2467406928