GCF and LCM Calculator Logo

What is the Least Common Multiple of 52176 and 52181?

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 52176 and 52181 is 2722595856.

LCM(52176,52181) = 2722595856

LCM Calculator and
and

Least Common Multiple of 52176 and 52181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52176 and 52181, than apply into the LCM equation.

GCF(52176,52181) = 1
LCM(52176,52181) = ( 52176 × 52181) / 1
LCM(52176,52181) = 2722595856 / 1
LCM(52176,52181) = 2722595856

Least Common Multiple (LCM) of 52176 and 52181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52176 and 52181. First we will calculate the prime factors of 52176 and 52181.

Prime Factorization of 52176

Prime factors of 52176 are 2, 3, 1087. Prime factorization of 52176 in exponential form is:

52176 = 24 × 31 × 10871

Prime Factorization of 52181

Prime factors of 52181 are 52181. Prime factorization of 52181 in exponential form is:

52181 = 521811

Now multiplying the highest exponent prime factors to calculate the LCM of 52176 and 52181.

LCM(52176,52181) = 24 × 31 × 10871 × 521811
LCM(52176,52181) = 2722595856