What is the Least Common Multiple of 98325 and 98343?

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 98325 and 98343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98325 and 98343, than apply into the LCM equation.

GCF(98325,98343) = 9
LCM(98325,98343) = ( 98325 × 98343) / 9
LCM(98325,98343) = 9669575475 / 9
LCM(98325,98343) = 1074397275

Least Common Multiple (LCM) of 98325 and 98343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98325 and 98343. First we will calculate the prime factors of 98325 and 98343.

Prime Factorization of 98325

Prime Factorization of 98343

Now multiplying the highest exponent prime factors to calculate the LCM of 98325 and 98343.

LCM(98325,98343) = 3² × 5² × 19¹ × 23¹ × 7² × 223¹
LCM(98325,98343) = 1074397275