What is the Least Common Multiple of 63509 and 63524?

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 63524 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 63524, than apply into the LCM equation.

GCF(63509,63524) = 1
LCM(63509,63524) = ( 63509 × 63524) / 1
LCM(63509,63524) = 4034345716 / 1
LCM(63509,63524) = 4034345716

Least Common Multiple (LCM) of 63509 and 63524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63509 and 63524. First we will calculate the prime factors of 63509 and 63524.

Prime Factorization of 63509

Prime Factorization of 63524

Now multiplying the highest exponent prime factors to calculate the LCM of 63509 and 63524.

LCM(63509,63524) = 41¹ × 1549¹ × 2² × 15881¹
LCM(63509,63524) = 4034345716