What is the Least Common Multiple of 63564 and 63584?

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 63564 and 63584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63564 and 63584, than apply into the LCM equation.

GCF(63564,63584) = 4
LCM(63564,63584) = ( 63564 × 63584) / 4
LCM(63564,63584) = 4041653376 / 4
LCM(63564,63584) = 1010413344

Least Common Multiple (LCM) of 63564 and 63584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63564 and 63584. First we will calculate the prime factors of 63564 and 63584.

Prime Factorization of 63564

Prime Factorization of 63584

Now multiplying the highest exponent prime factors to calculate the LCM of 63564 and 63584.

LCM(63564,63584) = 2⁵ × 3¹ × 5297¹ × 1987¹
LCM(63564,63584) = 1010413344