What is the Least Common Multiple of 63585 and 63599?

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 63585 and 63599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63585 and 63599, than apply into the LCM equation.

GCF(63585,63599) = 1
LCM(63585,63599) = ( 63585 × 63599) / 1
LCM(63585,63599) = 4043942415 / 1
LCM(63585,63599) = 4043942415

Least Common Multiple (LCM) of 63585 and 63599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63585 and 63599. First we will calculate the prime factors of 63585 and 63599.

Prime Factorization of 63585

Prime Factorization of 63599

Now multiplying the highest exponent prime factors to calculate the LCM of 63585 and 63599.

LCM(63585,63599) = 3⁴ × 5¹ × 157¹ × 63599¹
LCM(63585,63599) = 4043942415