What is the Least Common Multiple of 63852 and 63867?

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 63852 and 63867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63852 and 63867, than apply into the LCM equation.

GCF(63852,63867) = 3
LCM(63852,63867) = ( 63852 × 63867) / 3
LCM(63852,63867) = 4078035684 / 3
LCM(63852,63867) = 1359345228

Least Common Multiple (LCM) of 63852 and 63867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63852 and 63867. First we will calculate the prime factors of 63852 and 63867.

Prime Factorization of 63852

Prime Factorization of 63867

Now multiplying the highest exponent prime factors to calculate the LCM of 63852 and 63867.

LCM(63852,63867) = 2² × 3¹ × 17¹ × 313¹ × 61¹ × 349¹
LCM(63852,63867) = 1359345228