What is the Least Common Multiple of 4893 and 4905?

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 4893 and 4905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4893 and 4905, than apply into the LCM equation.

GCF(4893,4905) = 3
LCM(4893,4905) = ( 4893 × 4905) / 3
LCM(4893,4905) = 24000165 / 3
LCM(4893,4905) = 8000055

Least Common Multiple (LCM) of 4893 and 4905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4893 and 4905. First we will calculate the prime factors of 4893 and 4905.

Prime Factorization of 4893

Prime Factorization of 4905

Now multiplying the highest exponent prime factors to calculate the LCM of 4893 and 4905.

LCM(4893,4905) = 3² × 7¹ × 233¹ × 5¹ × 109¹
LCM(4893,4905) = 8000055