What is the Least Common Multiple of 98895 and 98901?

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 98895 and 98901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98895 and 98901, than apply into the LCM equation.

GCF(98895,98901) = 3
LCM(98895,98901) = ( 98895 × 98901) / 3
LCM(98895,98901) = 9780814395 / 3
LCM(98895,98901) = 3260271465

Least Common Multiple (LCM) of 98895 and 98901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98895 and 98901. First we will calculate the prime factors of 98895 and 98901.

Prime Factorization of 98895

Prime Factorization of 98901

Now multiplying the highest exponent prime factors to calculate the LCM of 98895 and 98901.

LCM(98895,98901) = 3⁵ × 5¹ × 19¹ × 347¹ × 11¹ × 37¹
LCM(98895,98901) = 3260271465