What is the Least Common Multiple of 98049 and 98061?

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 98049 and 98061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98049 and 98061, than apply into the LCM equation.

GCF(98049,98061) = 3
LCM(98049,98061) = ( 98049 × 98061) / 3
LCM(98049,98061) = 9614782989 / 3
LCM(98049,98061) = 3204927663

Least Common Multiple (LCM) of 98049 and 98061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98049 and 98061. First we will calculate the prime factors of 98049 and 98061.

Prime Factorization of 98049

Prime Factorization of 98061

Now multiplying the highest exponent prime factors to calculate the LCM of 98049 and 98061.

LCM(98049,98061) = 3¹ × 7² × 23¹ × 29¹ × 32687¹
LCM(98049,98061) = 3204927663