What is the Least Common Multiple of 4923 and 4942?

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 4942 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 4942, than apply into the LCM equation.

GCF(4923,4942) = 1
LCM(4923,4942) = ( 4923 × 4942) / 1
LCM(4923,4942) = 24329466 / 1
LCM(4923,4942) = 24329466

Least Common Multiple (LCM) of 4923 and 4942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4942. First we will calculate the prime factors of 4923 and 4942.

Prime Factorization of 4923

Prime Factorization of 4942

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4942.

LCM(4923,4942) = 3² × 547¹ × 2¹ × 7¹ × 353¹
LCM(4923,4942) = 24329466