What is the Least Common Multiple of 16905 and 16925?

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 16905 and 16925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16905 and 16925, than apply into the LCM equation.

GCF(16905,16925) = 5
LCM(16905,16925) = ( 16905 × 16925) / 5
LCM(16905,16925) = 286117125 / 5
LCM(16905,16925) = 57223425

Least Common Multiple (LCM) of 16905 and 16925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16905 and 16925. First we will calculate the prime factors of 16905 and 16925.

Prime Factorization of 16905

Prime Factorization of 16925

Now multiplying the highest exponent prime factors to calculate the LCM of 16905 and 16925.

LCM(16905,16925) = 3¹ × 5² × 7² × 23¹ × 677¹
LCM(16905,16925) = 57223425