What is the Least Common Multiple of 63643 and 63647?

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 63643 and 63647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63643 and 63647, than apply into the LCM equation.

GCF(63643,63647) = 1
LCM(63643,63647) = ( 63643 × 63647) / 1
LCM(63643,63647) = 4050686021 / 1
LCM(63643,63647) = 4050686021

Least Common Multiple (LCM) of 63643 and 63647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63643 and 63647. First we will calculate the prime factors of 63643 and 63647.

Prime Factorization of 63643

Prime Factorization of 63647

Now multiplying the highest exponent prime factors to calculate the LCM of 63643 and 63647.

LCM(63643,63647) = 31¹ × 2053¹ × 63647¹
LCM(63643,63647) = 4050686021