What is the Least Common Multiple of 4928 and 4948?

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 4928 and 4948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4928 and 4948, than apply into the LCM equation.

GCF(4928,4948) = 4
LCM(4928,4948) = ( 4928 × 4948) / 4
LCM(4928,4948) = 24383744 / 4
LCM(4928,4948) = 6095936

Least Common Multiple (LCM) of 4928 and 4948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4928 and 4948. First we will calculate the prime factors of 4928 and 4948.

Prime Factorization of 4928

Prime Factorization of 4948

Now multiplying the highest exponent prime factors to calculate the LCM of 4928 and 4948.

LCM(4928,4948) = 2⁶ × 7¹ × 11¹ × 1237¹
LCM(4928,4948) = 6095936