What is the Least Common Multiple of 63543 and 63552?

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 63543 and 63552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63543 and 63552, than apply into the LCM equation.

GCF(63543,63552) = 3
LCM(63543,63552) = ( 63543 × 63552) / 3
LCM(63543,63552) = 4038284736 / 3
LCM(63543,63552) = 1346094912

Least Common Multiple (LCM) of 63543 and 63552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63543 and 63552. First we will calculate the prime factors of 63543 and 63552.

Prime Factorization of 63543

Prime Factorization of 63552

Now multiplying the highest exponent prime factors to calculate the LCM of 63543 and 63552.

LCM(63543,63552) = 3¹ × 59¹ × 359¹ × 2⁶ × 331¹
LCM(63543,63552) = 1346094912