What is the Least Common Multiple of 98350 and 98370?

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 98350 and 98370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98350 and 98370, than apply into the LCM equation.

GCF(98350,98370) = 10
LCM(98350,98370) = ( 98350 × 98370) / 10
LCM(98350,98370) = 9674689500 / 10
LCM(98350,98370) = 967468950

Least Common Multiple (LCM) of 98350 and 98370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98350 and 98370. First we will calculate the prime factors of 98350 and 98370.

Prime Factorization of 98350

Prime Factorization of 98370

Now multiplying the highest exponent prime factors to calculate the LCM of 98350 and 98370.

LCM(98350,98370) = 2¹ × 5² × 7¹ × 281¹ × 3² × 1093¹
LCM(98350,98370) = 967468950