What is the Least Common Multiple of 63540 and 63549?

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 63540 and 63549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63540 and 63549, than apply into the LCM equation.

GCF(63540,63549) = 9
LCM(63540,63549) = ( 63540 × 63549) / 9
LCM(63540,63549) = 4037903460 / 9
LCM(63540,63549) = 448655940

Least Common Multiple (LCM) of 63540 and 63549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63540 and 63549. First we will calculate the prime factors of 63540 and 63549.

Prime Factorization of 63540

Prime Factorization of 63549

Now multiplying the highest exponent prime factors to calculate the LCM of 63540 and 63549.

LCM(63540,63549) = 2² × 3² × 5¹ × 353¹ × 23¹ × 307¹
LCM(63540,63549) = 448655940