GCF and LCM Calculator Logo

What is the Least Common Multiple of 47798 and 47811?

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 47798 and 47811 is 2285270178.

LCM(47798,47811) = 2285270178

LCM Calculator and
and

Least Common Multiple of 47798 and 47811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47798 and 47811, than apply into the LCM equation.

GCF(47798,47811) = 1
LCM(47798,47811) = ( 47798 × 47811) / 1
LCM(47798,47811) = 2285270178 / 1
LCM(47798,47811) = 2285270178

Least Common Multiple (LCM) of 47798 and 47811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47798 and 47811. First we will calculate the prime factors of 47798 and 47811.

Prime Factorization of 47798

Prime factors of 47798 are 2, 23899. Prime factorization of 47798 in exponential form is:

47798 = 21 × 238991

Prime Factorization of 47811

Prime factors of 47811 are 3, 15937. Prime factorization of 47811 in exponential form is:

47811 = 31 × 159371

Now multiplying the highest exponent prime factors to calculate the LCM of 47798 and 47811.

LCM(47798,47811) = 21 × 238991 × 31 × 159371
LCM(47798,47811) = 2285270178