What is the Least Common Multiple of 63804 and 63813?

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 of 63804 and 63813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63804 and 63813, than apply into the LCM equation.

GCF(63804,63813) = 3
LCM(63804,63813) = ( 63804 × 63813) / 3
LCM(63804,63813) = 4071524652 / 3
LCM(63804,63813) = 1357174884

Least Common Multiple (LCM) of 63804 and 63813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63804 and 63813. First we will calculate the prime factors of 63804 and 63813.

Prime Factorization of 63804

Prime Factorization of 63813

Now multiplying the highest exponent prime factors to calculate the LCM of 63804 and 63813.

LCM(63804,63813) = 2² × 3¹ × 13¹ × 409¹ × 89¹ × 239¹
LCM(63804,63813) = 1357174884