What is the Least Common Multiple of 63540 and 63555?

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 63555 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 63555, than apply into the LCM equation.

GCF(63540,63555) = 15
LCM(63540,63555) = ( 63540 × 63555) / 15
LCM(63540,63555) = 4038284700 / 15
LCM(63540,63555) = 269218980

Least Common Multiple (LCM) of 63540 and 63555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63540 and 63555. First we will calculate the prime factors of 63540 and 63555.

Prime Factorization of 63540

Prime Factorization of 63555

Now multiplying the highest exponent prime factors to calculate the LCM of 63540 and 63555.

LCM(63540,63555) = 2² × 3² × 5¹ × 353¹ × 19¹ × 223¹
LCM(63540,63555) = 269218980