What is the Least Common Multiple of 63231 and 63240?

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 63231 and 63240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63231 and 63240, than apply into the LCM equation.

GCF(63231,63240) = 3
LCM(63231,63240) = ( 63231 × 63240) / 3
LCM(63231,63240) = 3998728440 / 3
LCM(63231,63240) = 1332909480

Least Common Multiple (LCM) of 63231 and 63240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63231 and 63240. First we will calculate the prime factors of 63231 and 63240.

Prime Factorization of 63231

Prime Factorization of 63240

Now multiplying the highest exponent prime factors to calculate the LCM of 63231 and 63240.

LCM(63231,63240) = 3¹ × 7¹ × 3011¹ × 2³ × 5¹ × 17¹ × 31¹
LCM(63231,63240) = 1332909480