What is the Least Common Multiple of 63509 and 63513?

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 63509 and 63513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63509 and 63513, than apply into the LCM equation.

GCF(63509,63513) = 1
LCM(63509,63513) = ( 63509 × 63513) / 1
LCM(63509,63513) = 4033647117 / 1
LCM(63509,63513) = 4033647117

Least Common Multiple (LCM) of 63509 and 63513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63509 and 63513. First we will calculate the prime factors of 63509 and 63513.

Prime Factorization of 63509

Prime Factorization of 63513

Now multiplying the highest exponent prime factors to calculate the LCM of 63509 and 63513.

LCM(63509,63513) = 41¹ × 1549¹ × 3² × 7057¹
LCM(63509,63513) = 4033647117