What is the Least Common Multiple of 4845 and 4863?

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 4845 and 4863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4845 and 4863, than apply into the LCM equation.

GCF(4845,4863) = 3
LCM(4845,4863) = ( 4845 × 4863) / 3
LCM(4845,4863) = 23561235 / 3
LCM(4845,4863) = 7853745

Least Common Multiple (LCM) of 4845 and 4863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4845 and 4863. First we will calculate the prime factors of 4845 and 4863.

Prime Factorization of 4845

Prime Factorization of 4863

Now multiplying the highest exponent prime factors to calculate the LCM of 4845 and 4863.

LCM(4845,4863) = 3¹ × 5¹ × 17¹ × 19¹ × 1621¹
LCM(4845,4863) = 7853745