What is the Least Common Multiple of 9910 and 9925?

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 9910 and 9925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9910 and 9925, than apply into the LCM equation.

GCF(9910,9925) = 5
LCM(9910,9925) = ( 9910 × 9925) / 5
LCM(9910,9925) = 98356750 / 5
LCM(9910,9925) = 19671350

Least Common Multiple (LCM) of 9910 and 9925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9910 and 9925. First we will calculate the prime factors of 9910 and 9925.

Prime Factorization of 9910

Prime Factorization of 9925

Now multiplying the highest exponent prime factors to calculate the LCM of 9910 and 9925.

LCM(9910,9925) = 2¹ × 5² × 991¹ × 397¹
LCM(9910,9925) = 19671350