What is the Least Common Multiple of 98345 and 98365?

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 98345 and 98365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98345 and 98365, than apply into the LCM equation.

GCF(98345,98365) = 5
LCM(98345,98365) = ( 98345 × 98365) / 5
LCM(98345,98365) = 9673705925 / 5
LCM(98345,98365) = 1934741185

Least Common Multiple (LCM) of 98345 and 98365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98345 and 98365. First we will calculate the prime factors of 98345 and 98365.

Prime Factorization of 98345

Prime Factorization of 98365

Now multiplying the highest exponent prime factors to calculate the LCM of 98345 and 98365.

LCM(98345,98365) = 5¹ × 13¹ × 17¹ × 89¹ × 103¹ × 191¹
LCM(98345,98365) = 1934741185