What is the Least Common Multiple of 99470 and 99482?

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 99470 and 99482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99470 and 99482, than apply into the LCM equation.

GCF(99470,99482) = 2
LCM(99470,99482) = ( 99470 × 99482) / 2
LCM(99470,99482) = 9895474540 / 2
LCM(99470,99482) = 4947737270

Least Common Multiple (LCM) of 99470 and 99482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99470 and 99482. First we will calculate the prime factors of 99470 and 99482.

Prime Factorization of 99470

Prime Factorization of 99482

Now multiplying the highest exponent prime factors to calculate the LCM of 99470 and 99482.

LCM(99470,99482) = 2¹ × 5¹ × 7³ × 29¹ × 49741¹
LCM(99470,99482) = 4947737270