What is the Least Common Multiple of 68472 and 68488?

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 68472 and 68488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68472 and 68488, than apply into the LCM equation.

GCF(68472,68488) = 8
LCM(68472,68488) = ( 68472 × 68488) / 8
LCM(68472,68488) = 4689510336 / 8
LCM(68472,68488) = 586188792

Least Common Multiple (LCM) of 68472 and 68488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68472 and 68488. First we will calculate the prime factors of 68472 and 68488.

Prime Factorization of 68472

Prime Factorization of 68488

Now multiplying the highest exponent prime factors to calculate the LCM of 68472 and 68488.

LCM(68472,68488) = 2³ × 3³ × 317¹ × 7¹ × 1223¹
LCM(68472,68488) = 586188792