What is the Least Common Multiple of 99830 and 99842?

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 99830 and 99842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99830 and 99842, than apply into the LCM equation.

GCF(99830,99842) = 2
LCM(99830,99842) = ( 99830 × 99842) / 2
LCM(99830,99842) = 9967226860 / 2
LCM(99830,99842) = 4983613430

Least Common Multiple (LCM) of 99830 and 99842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99830 and 99842. First we will calculate the prime factors of 99830 and 99842.

Prime Factorization of 99830

Prime Factorization of 99842

Now multiplying the highest exponent prime factors to calculate the LCM of 99830 and 99842.

LCM(99830,99842) = 2¹ × 5¹ × 67¹ × 149¹ × 49921¹
LCM(99830,99842) = 4983613430