What is the Least Common Multiple of 63786 and 63804?

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 63786 and 63804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63786 and 63804, than apply into the LCM equation.

GCF(63786,63804) = 6
LCM(63786,63804) = ( 63786 × 63804) / 6
LCM(63786,63804) = 4069801944 / 6
LCM(63786,63804) = 678300324

Least Common Multiple (LCM) of 63786 and 63804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63786 and 63804. First we will calculate the prime factors of 63786 and 63804.

Prime Factorization of 63786

Prime Factorization of 63804

Now multiplying the highest exponent prime factors to calculate the LCM of 63786 and 63804.

LCM(63786,63804) = 2² × 3¹ × 10631¹ × 13¹ × 409¹
LCM(63786,63804) = 678300324