What is the Least Common Multiple of 63555 and 63573?

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 63555 and 63573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63555 and 63573, than apply into the LCM equation.

GCF(63555,63573) = 3
LCM(63555,63573) = ( 63555 × 63573) / 3
LCM(63555,63573) = 4040382015 / 3
LCM(63555,63573) = 1346794005

Least Common Multiple (LCM) of 63555 and 63573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63555 and 63573. First we will calculate the prime factors of 63555 and 63573.

Prime Factorization of 63555

Prime Factorization of 63573

Now multiplying the highest exponent prime factors to calculate the LCM of 63555 and 63573.

LCM(63555,63573) = 3¹ × 5¹ × 19¹ × 223¹ × 21191¹
LCM(63555,63573) = 1346794005