What is the Least Common Multiple of 98853 and 98873?

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 98853 and 98873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98853 and 98873, than apply into the LCM equation.

GCF(98853,98873) = 1
LCM(98853,98873) = ( 98853 × 98873) / 1
LCM(98853,98873) = 9773892669 / 1
LCM(98853,98873) = 9773892669

Least Common Multiple (LCM) of 98853 and 98873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98853 and 98873. First we will calculate the prime factors of 98853 and 98873.

Prime Factorization of 98853

Prime Factorization of 98873

Now multiplying the highest exponent prime factors to calculate the LCM of 98853 and 98873.

LCM(98853,98873) = 3¹ × 83¹ × 397¹ × 98873¹
LCM(98853,98873) = 9773892669