What is the Least Common Multiple of 63552 and 63564?

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 63552 and 63564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63552 and 63564, than apply into the LCM equation.

GCF(63552,63564) = 12
LCM(63552,63564) = ( 63552 × 63564) / 12
LCM(63552,63564) = 4039619328 / 12
LCM(63552,63564) = 336634944

Least Common Multiple (LCM) of 63552 and 63564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63552 and 63564. First we will calculate the prime factors of 63552 and 63564.

Prime Factorization of 63552

Prime Factorization of 63564

Now multiplying the highest exponent prime factors to calculate the LCM of 63552 and 63564.

LCM(63552,63564) = 2⁶ × 3¹ × 331¹ × 5297¹
LCM(63552,63564) = 336634944