What is the Least Common Multiple of 63280 and 63288?

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 63280 and 63288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63280 and 63288, than apply into the LCM equation.

GCF(63280,63288) = 8
LCM(63280,63288) = ( 63280 × 63288) / 8
LCM(63280,63288) = 4004864640 / 8
LCM(63280,63288) = 500608080

Least Common Multiple (LCM) of 63280 and 63288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63280 and 63288. First we will calculate the prime factors of 63280 and 63288.

Prime Factorization of 63280

Prime Factorization of 63288

Now multiplying the highest exponent prime factors to calculate the LCM of 63280 and 63288.

LCM(63280,63288) = 2⁴ × 5¹ × 7¹ × 113¹ × 3³ × 293¹
LCM(63280,63288) = 500608080