What is the Least Common Multiple of 98493 and 98503?

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 98493 and 98503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98493 and 98503, than apply into the LCM equation.

GCF(98493,98503) = 1
LCM(98493,98503) = ( 98493 × 98503) / 1
LCM(98493,98503) = 9701855979 / 1
LCM(98493,98503) = 9701855979

Least Common Multiple (LCM) of 98493 and 98503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98493 and 98503. First we will calculate the prime factors of 98493 and 98503.

Prime Factorization of 98493

Prime Factorization of 98503

Now multiplying the highest exponent prime factors to calculate the LCM of 98493 and 98503.

LCM(98493,98503) = 3¹ × 32831¹ × 137¹ × 719¹
LCM(98493,98503) = 9701855979