What is the Least Common Multiple of 98306 and 98325?

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 98306 and 98325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98306 and 98325, than apply into the LCM equation.

GCF(98306,98325) = 19
LCM(98306,98325) = ( 98306 × 98325) / 19
LCM(98306,98325) = 9665937450 / 19
LCM(98306,98325) = 508733550

Least Common Multiple (LCM) of 98306 and 98325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98306 and 98325. First we will calculate the prime factors of 98306 and 98325.

Prime Factorization of 98306

Prime Factorization of 98325

Now multiplying the highest exponent prime factors to calculate the LCM of 98306 and 98325.

LCM(98306,98325) = 2¹ × 13¹ × 19¹ × 199¹ × 3² × 5² × 23¹
LCM(98306,98325) = 508733550