What is the Least Common Multiple of 63021 and 63033?

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 63021 and 63033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63021 and 63033, than apply into the LCM equation.

GCF(63021,63033) = 3
LCM(63021,63033) = ( 63021 × 63033) / 3
LCM(63021,63033) = 3972402693 / 3
LCM(63021,63033) = 1324134231

Least Common Multiple (LCM) of 63021 and 63033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63021 and 63033. First we will calculate the prime factors of 63021 and 63033.

Prime Factorization of 63021

Prime Factorization of 63033

Now multiplying the highest exponent prime factors to calculate the LCM of 63021 and 63033.

LCM(63021,63033) = 3¹ × 7¹ × 3001¹ × 21011¹
LCM(63021,63033) = 1324134231