What is the Least Common Multiple of 63513 and 63521?

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 63513 and 63521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63513 and 63521, than apply into the LCM equation.

GCF(63513,63521) = 1
LCM(63513,63521) = ( 63513 × 63521) / 1
LCM(63513,63521) = 4034409273 / 1
LCM(63513,63521) = 4034409273

Least Common Multiple (LCM) of 63513 and 63521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63513 and 63521. First we will calculate the prime factors of 63513 and 63521.

Prime Factorization of 63513

Prime Factorization of 63521

Now multiplying the highest exponent prime factors to calculate the LCM of 63513 and 63521.

LCM(63513,63521) = 3² × 7057¹ × 63521¹
LCM(63513,63521) = 4034409273