GCF and LCM Calculator Logo

What is the Least Common Multiple of 66811 and 66820?

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 66811 and 66820 is 4464311020.

LCM(66811,66820) = 4464311020

LCM Calculator and
and

Least Common Multiple of 66811 and 66820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66811 and 66820, than apply into the LCM equation.

GCF(66811,66820) = 1
LCM(66811,66820) = ( 66811 × 66820) / 1
LCM(66811,66820) = 4464311020 / 1
LCM(66811,66820) = 4464311020

Least Common Multiple (LCM) of 66811 and 66820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66811 and 66820. First we will calculate the prime factors of 66811 and 66820.

Prime Factorization of 66811

Prime factors of 66811 are 71, 941. Prime factorization of 66811 in exponential form is:

66811 = 711 × 9411

Prime Factorization of 66820

Prime factors of 66820 are 2, 5, 13, 257. Prime factorization of 66820 in exponential form is:

66820 = 22 × 51 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 66811 and 66820.

LCM(66811,66820) = 711 × 9411 × 22 × 51 × 131 × 2571
LCM(66811,66820) = 4464311020