What is the Least Common Multiple of 63021 and 63035?

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 63035 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 63035, than apply into the LCM equation.

GCF(63021,63035) = 7
LCM(63021,63035) = ( 63021 × 63035) / 7
LCM(63021,63035) = 3972528735 / 7
LCM(63021,63035) = 567504105

Least Common Multiple (LCM) of 63021 and 63035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63021 and 63035. First we will calculate the prime factors of 63021 and 63035.

Prime Factorization of 63021

Prime Factorization of 63035

Now multiplying the highest exponent prime factors to calculate the LCM of 63021 and 63035.

LCM(63021,63035) = 3¹ × 7¹ × 3001¹ × 5¹ × 1801¹
LCM(63021,63035) = 567504105