What is the Least Common Multiple of 98325 and 98345?

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 98345 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 98345, than apply into the LCM equation.

GCF(98325,98345) = 5
LCM(98325,98345) = ( 98325 × 98345) / 5
LCM(98325,98345) = 9669772125 / 5
LCM(98325,98345) = 1933954425

Least Common Multiple (LCM) of 98325 and 98345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98325 and 98345. First we will calculate the prime factors of 98325 and 98345.

Prime Factorization of 98325

Prime Factorization of 98345

Now multiplying the highest exponent prime factors to calculate the LCM of 98325 and 98345.

LCM(98325,98345) = 3² × 5² × 19¹ × 23¹ × 13¹ × 17¹ × 89¹
LCM(98325,98345) = 1933954425