What is the Least Common Multiple of 28905 and 28920?

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 28905 and 28920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28905 and 28920, than apply into the LCM equation.

GCF(28905,28920) = 15
LCM(28905,28920) = ( 28905 × 28920) / 15
LCM(28905,28920) = 835932600 / 15
LCM(28905,28920) = 55728840

Least Common Multiple (LCM) of 28905 and 28920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28905 and 28920. First we will calculate the prime factors of 28905 and 28920.

Prime Factorization of 28905

Prime Factorization of 28920

Now multiplying the highest exponent prime factors to calculate the LCM of 28905 and 28920.

LCM(28905,28920) = 3¹ × 5¹ × 41¹ × 47¹ × 2³ × 241¹
LCM(28905,28920) = 55728840