GCF and LCM Calculator Logo

What is the Least Common Multiple of 63812 and 63823?

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 63812 and 63823 is 4072673276.

LCM(63812,63823) = 4072673276

LCM Calculator and
and

Least Common Multiple of 63812 and 63823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63812 and 63823, than apply into the LCM equation.

GCF(63812,63823) = 1
LCM(63812,63823) = ( 63812 × 63823) / 1
LCM(63812,63823) = 4072673276 / 1
LCM(63812,63823) = 4072673276

Least Common Multiple (LCM) of 63812 and 63823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63812 and 63823. First we will calculate the prime factors of 63812 and 63823.

Prime Factorization of 63812

Prime factors of 63812 are 2, 7, 43, 53. Prime factorization of 63812 in exponential form is:

63812 = 22 × 71 × 431 × 531

Prime Factorization of 63823

Prime factors of 63823 are 63823. Prime factorization of 63823 in exponential form is:

63823 = 638231

Now multiplying the highest exponent prime factors to calculate the LCM of 63812 and 63823.

LCM(63812,63823) = 22 × 71 × 431 × 531 × 638231
LCM(63812,63823) = 4072673276