What is the Least Common Multiple of 68280 and 68288?

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 68280 and 68288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68280 and 68288, than apply into the LCM equation.

GCF(68280,68288) = 8
LCM(68280,68288) = ( 68280 × 68288) / 8
LCM(68280,68288) = 4662704640 / 8
LCM(68280,68288) = 582838080

Least Common Multiple (LCM) of 68280 and 68288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68280 and 68288. First we will calculate the prime factors of 68280 and 68288.

Prime Factorization of 68280

Prime Factorization of 68288

Now multiplying the highest exponent prime factors to calculate the LCM of 68280 and 68288.

LCM(68280,68288) = 2⁶ × 3¹ × 5¹ × 569¹ × 11¹ × 97¹
LCM(68280,68288) = 582838080