What is the Least Common Multiple of 98925 and 98941?

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 98925 and 98941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98925 and 98941, than apply into the LCM equation.

GCF(98925,98941) = 1
LCM(98925,98941) = ( 98925 × 98941) / 1
LCM(98925,98941) = 9787738425 / 1
LCM(98925,98941) = 9787738425

Least Common Multiple (LCM) of 98925 and 98941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98925 and 98941. First we will calculate the prime factors of 98925 and 98941.

Prime Factorization of 98925

Prime Factorization of 98941

Now multiplying the highest exponent prime factors to calculate the LCM of 98925 and 98941.

LCM(98925,98941) = 3¹ × 5² × 1319¹ × 163¹ × 607¹
LCM(98925,98941) = 9787738425