What is the Least Common Multiple of 63567 and 63585?

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 63567 and 63585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63567 and 63585, than apply into the LCM equation.

GCF(63567,63585) = 9
LCM(63567,63585) = ( 63567 × 63585) / 9
LCM(63567,63585) = 4041907695 / 9
LCM(63567,63585) = 449100855

Least Common Multiple (LCM) of 63567 and 63585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63567 and 63585. First we will calculate the prime factors of 63567 and 63585.

Prime Factorization of 63567

Prime Factorization of 63585

Now multiplying the highest exponent prime factors to calculate the LCM of 63567 and 63585.

LCM(63567,63585) = 3⁴ × 7¹ × 1009¹ × 5¹ × 157¹
LCM(63567,63585) = 449100855