GCF and LCM Calculator Logo

What is the Least Common Multiple of 48818 and 48831?

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 (LCM) of 48818 and 48831 is 2383831758.

LCM(48818,48831) = 2383831758

LCM Calculator and
and

Least Common Multiple of 48818 and 48831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48818 and 48831, than apply into the LCM equation.

GCF(48818,48831) = 1
LCM(48818,48831) = ( 48818 × 48831) / 1
LCM(48818,48831) = 2383831758 / 1
LCM(48818,48831) = 2383831758

Least Common Multiple (LCM) of 48818 and 48831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48818 and 48831. First we will calculate the prime factors of 48818 and 48831.

Prime Factorization of 48818

Prime factors of 48818 are 2, 7, 11, 317. Prime factorization of 48818 in exponential form is:

48818 = 21 × 71 × 111 × 3171

Prime Factorization of 48831

Prime factors of 48831 are 3, 41, 397. Prime factorization of 48831 in exponential form is:

48831 = 31 × 411 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 48818 and 48831.

LCM(48818,48831) = 21 × 71 × 111 × 3171 × 31 × 411 × 3971
LCM(48818,48831) = 2383831758