What is the Least Common Multiple of 4914 and 4926?

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 4926 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 4926, than apply into the LCM equation.

GCF(4914,4926) = 6
LCM(4914,4926) = ( 4914 × 4926) / 6
LCM(4914,4926) = 24206364 / 6
LCM(4914,4926) = 4034394

Least Common Multiple (LCM) of 4914 and 4926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4914 and 4926. First we will calculate the prime factors of 4914 and 4926.

Prime Factorization of 4914

Prime Factorization of 4926

Now multiplying the highest exponent prime factors to calculate the LCM of 4914 and 4926.

LCM(4914,4926) = 2¹ × 3³ × 7¹ × 13¹ × 821¹
LCM(4914,4926) = 4034394