What is the Least Common Multiple of 63504 and 63509?

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 63504 and 63509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63504 and 63509, than apply into the LCM equation.

GCF(63504,63509) = 1
LCM(63504,63509) = ( 63504 × 63509) / 1
LCM(63504,63509) = 4033075536 / 1
LCM(63504,63509) = 4033075536

Least Common Multiple (LCM) of 63504 and 63509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63504 and 63509. First we will calculate the prime factors of 63504 and 63509.

Prime Factorization of 63504

Prime Factorization of 63509

Now multiplying the highest exponent prime factors to calculate the LCM of 63504 and 63509.

LCM(63504,63509) = 2⁴ × 3⁴ × 7² × 41¹ × 1549¹
LCM(63504,63509) = 4033075536