What is the Least Common Multiple of 4923 and 4935?

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 4923 and 4935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4923 and 4935, than apply into the LCM equation.

GCF(4923,4935) = 3
LCM(4923,4935) = ( 4923 × 4935) / 3
LCM(4923,4935) = 24295005 / 3
LCM(4923,4935) = 8098335

Least Common Multiple (LCM) of 4923 and 4935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4935. First we will calculate the prime factors of 4923 and 4935.

Prime Factorization of 4923

Prime Factorization of 4935

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4935.

LCM(4923,4935) = 3² × 547¹ × 5¹ × 7¹ × 47¹
LCM(4923,4935) = 8098335