What is the Least Common Multiple of 98849 and 98861?

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 98849 and 98861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98849 and 98861, than apply into the LCM equation.

GCF(98849,98861) = 1
LCM(98849,98861) = ( 98849 × 98861) / 1
LCM(98849,98861) = 9772310989 / 1
LCM(98849,98861) = 9772310989

Least Common Multiple (LCM) of 98849 and 98861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98849 and 98861. First we will calculate the prime factors of 98849 and 98861.

Prime Factorization of 98849

Prime Factorization of 98861

Now multiplying the highest exponent prime factors to calculate the LCM of 98849 and 98861.

LCM(98849,98861) = 98849¹ × 7¹ × 29¹ × 487¹
LCM(98849,98861) = 9772310989