What is the Least Common Multiple of 98324 and 98344?

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 98324 and 98344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98324 and 98344, than apply into the LCM equation.

GCF(98324,98344) = 4
LCM(98324,98344) = ( 98324 × 98344) / 4
LCM(98324,98344) = 9669575456 / 4
LCM(98324,98344) = 2417393864

Least Common Multiple (LCM) of 98324 and 98344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98324 and 98344. First we will calculate the prime factors of 98324 and 98344.

Prime Factorization of 98324

Prime Factorization of 98344

Now multiplying the highest exponent prime factors to calculate the LCM of 98324 and 98344.

LCM(98324,98344) = 2³ × 47¹ × 523¹ × 19¹ × 647¹
LCM(98324,98344) = 2417393864