What is the Least Common Multiple of 63484 and 63504?

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 63484 and 63504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63484 and 63504, than apply into the LCM equation.

GCF(63484,63504) = 4
LCM(63484,63504) = ( 63484 × 63504) / 4
LCM(63484,63504) = 4031487936 / 4
LCM(63484,63504) = 1007871984

Least Common Multiple (LCM) of 63484 and 63504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63484 and 63504. First we will calculate the prime factors of 63484 and 63504.

Prime Factorization of 63484

Prime Factorization of 63504

Now multiplying the highest exponent prime factors to calculate the LCM of 63484 and 63504.

LCM(63484,63504) = 2⁴ × 59¹ × 269¹ × 3⁴ × 7²
LCM(63484,63504) = 1007871984