What is the Least Common Multiple of 4914 and 4934?

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 4914 and 4934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4914 and 4934, than apply into the LCM equation.

GCF(4914,4934) = 2
LCM(4914,4934) = ( 4914 × 4934) / 2
LCM(4914,4934) = 24245676 / 2
LCM(4914,4934) = 12122838

Least Common Multiple (LCM) of 4914 and 4934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4914 and 4934. First we will calculate the prime factors of 4914 and 4934.

Prime Factorization of 4914

Prime Factorization of 4934

Now multiplying the highest exponent prime factors to calculate the LCM of 4914 and 4934.

LCM(4914,4934) = 2¹ × 3³ × 7¹ × 13¹ × 2467¹
LCM(4914,4934) = 12122838