GCF and LCM Calculator Logo

What is the Least Common Multiple of 98168 and 98177?

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 98168 and 98177 is 9637839736.

LCM(98168,98177) = 9637839736

LCM Calculator and
and

Least Common Multiple of 98168 and 98177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98168 and 98177, than apply into the LCM equation.

GCF(98168,98177) = 1
LCM(98168,98177) = ( 98168 × 98177) / 1
LCM(98168,98177) = 9637839736 / 1
LCM(98168,98177) = 9637839736

Least Common Multiple (LCM) of 98168 and 98177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98168 and 98177. First we will calculate the prime factors of 98168 and 98177.

Prime Factorization of 98168

Prime factors of 98168 are 2, 7, 1753. Prime factorization of 98168 in exponential form is:

98168 = 23 × 71 × 17531

Prime Factorization of 98177

Prime factors of 98177 are 31, 3167. Prime factorization of 98177 in exponential form is:

98177 = 311 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 98168 and 98177.

LCM(98168,98177) = 23 × 71 × 17531 × 311 × 31671
LCM(98168,98177) = 9637839736