GCF and LCM Calculator Logo

What is the Least Common Multiple of 98836 and 98842?

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 (LCM) of 98836 and 98842 is 4884573956.

LCM(98836,98842) = 4884573956

LCM Calculator and
and

Least Common Multiple of 98836 and 98842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98836 and 98842, than apply into the LCM equation.

GCF(98836,98842) = 2
LCM(98836,98842) = ( 98836 × 98842) / 2
LCM(98836,98842) = 9769147912 / 2
LCM(98836,98842) = 4884573956

Least Common Multiple (LCM) of 98836 and 98842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98836 and 98842. First we will calculate the prime factors of 98836 and 98842.

Prime Factorization of 98836

Prime factors of 98836 are 2, 24709. Prime factorization of 98836 in exponential form is:

98836 = 22 × 247091

Prime Factorization of 98842

Prime factors of 98842 are 2, 73, 677. Prime factorization of 98842 in exponential form is:

98842 = 21 × 731 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 98836 and 98842.

LCM(98836,98842) = 22 × 247091 × 731 × 6771
LCM(98836,98842) = 4884573956