GCF and LCM Calculator Logo

What is the Least Common Multiple of 48815 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 48815 and 48831 is 2383685265.

LCM(48815,48831) = 2383685265

LCM Calculator and
and

Least Common Multiple of 48815 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 48815 and 48831, than apply into the LCM equation.

GCF(48815,48831) = 1
LCM(48815,48831) = ( 48815 × 48831) / 1
LCM(48815,48831) = 2383685265 / 1
LCM(48815,48831) = 2383685265

Least Common Multiple (LCM) of 48815 and 48831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48815 and 48831. First we will calculate the prime factors of 48815 and 48831.

Prime Factorization of 48815

Prime factors of 48815 are 5, 13, 751. Prime factorization of 48815 in exponential form is:

48815 = 51 × 131 × 7511

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 48815 and 48831.

LCM(48815,48831) = 51 × 131 × 7511 × 31 × 411 × 3971
LCM(48815,48831) = 2383685265