What is the Least Common Multiple of 99782 and 99802?

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 99782 and 99802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99782 and 99802, than apply into the LCM equation.

GCF(99782,99802) = 2
LCM(99782,99802) = ( 99782 × 99802) / 2
LCM(99782,99802) = 9958443164 / 2
LCM(99782,99802) = 4979221582

Least Common Multiple (LCM) of 99782 and 99802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99782 and 99802. First we will calculate the prime factors of 99782 and 99802.

Prime Factorization of 99782

Prime Factorization of 99802

Now multiplying the highest exponent prime factors to calculate the LCM of 99782 and 99802.

LCM(99782,99802) = 2¹ × 49891¹ × 139¹ × 359¹
LCM(99782,99802) = 4979221582