What is the Least Common Multiple of 98043 and 98057?

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 98043 and 98057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98043 and 98057, than apply into the LCM equation.

GCF(98043,98057) = 1
LCM(98043,98057) = ( 98043 × 98057) / 1
LCM(98043,98057) = 9613802451 / 1
LCM(98043,98057) = 9613802451

Least Common Multiple (LCM) of 98043 and 98057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98043 and 98057. First we will calculate the prime factors of 98043 and 98057.

Prime Factorization of 98043

Prime Factorization of 98057

Now multiplying the highest exponent prime factors to calculate the LCM of 98043 and 98057.

LCM(98043,98057) = 3¹ × 11¹ × 2971¹ × 98057¹
LCM(98043,98057) = 9613802451