What is the Least Common Multiple of 68472 and 68478?

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 68478 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 68478, than apply into the LCM equation.

GCF(68472,68478) = 6
LCM(68472,68478) = ( 68472 × 68478) / 6
LCM(68472,68478) = 4688825616 / 6
LCM(68472,68478) = 781470936

Least Common Multiple (LCM) of 68472 and 68478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68472 and 68478. First we will calculate the prime factors of 68472 and 68478.

Prime Factorization of 68472

Prime Factorization of 68478

Now multiplying the highest exponent prime factors to calculate the LCM of 68472 and 68478.

LCM(68472,68478) = 2³ × 3³ × 317¹ × 101¹ × 113¹
LCM(68472,68478) = 781470936