What is the Least Common Multiple of 63549 and 63561?

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 63549 and 63561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63549 and 63561, than apply into the LCM equation.

GCF(63549,63561) = 3
LCM(63549,63561) = ( 63549 × 63561) / 3
LCM(63549,63561) = 4039237989 / 3
LCM(63549,63561) = 1346412663

Least Common Multiple (LCM) of 63549 and 63561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63549 and 63561. First we will calculate the prime factors of 63549 and 63561.

Prime Factorization of 63549

Prime Factorization of 63561

Now multiplying the highest exponent prime factors to calculate the LCM of 63549 and 63561.

LCM(63549,63561) = 3² × 23¹ × 307¹ × 21187¹
LCM(63549,63561) = 1346412663