What is the Least Common Multiple of 4905 and 4917?

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 4905 and 4917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4905 and 4917, than apply into the LCM equation.

GCF(4905,4917) = 3
LCM(4905,4917) = ( 4905 × 4917) / 3
LCM(4905,4917) = 24117885 / 3
LCM(4905,4917) = 8039295

Least Common Multiple (LCM) of 4905 and 4917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4905 and 4917. First we will calculate the prime factors of 4905 and 4917.

Prime Factorization of 4905

Prime Factorization of 4917

Now multiplying the highest exponent prime factors to calculate the LCM of 4905 and 4917.

LCM(4905,4917) = 3² × 5¹ × 109¹ × 11¹ × 149¹
LCM(4905,4917) = 8039295