What is the Least Common Multiple of 98995 and 99011?

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 98995 and 99011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98995 and 99011, than apply into the LCM equation.

GCF(98995,99011) = 1
LCM(98995,99011) = ( 98995 × 99011) / 1
LCM(98995,99011) = 9801593945 / 1
LCM(98995,99011) = 9801593945

Least Common Multiple (LCM) of 98995 and 99011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98995 and 99011. First we will calculate the prime factors of 98995 and 99011.

Prime Factorization of 98995

Prime Factorization of 99011

Now multiplying the highest exponent prime factors to calculate the LCM of 98995 and 99011.

LCM(98995,99011) = 5¹ × 13¹ × 1523¹ × 11¹ × 9001¹
LCM(98995,99011) = 9801593945