What is the Least Common Multiple of 68712 and 68728?

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 68712 and 68728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68712 and 68728, than apply into the LCM equation.

GCF(68712,68728) = 8
LCM(68712,68728) = ( 68712 × 68728) / 8
LCM(68712,68728) = 4722438336 / 8
LCM(68712,68728) = 590304792

Least Common Multiple (LCM) of 68712 and 68728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68712 and 68728. First we will calculate the prime factors of 68712 and 68728.

Prime Factorization of 68712

Prime Factorization of 68728

Now multiplying the highest exponent prime factors to calculate the LCM of 68712 and 68728.

LCM(68712,68728) = 2³ × 3¹ × 7¹ × 409¹ × 11² × 71¹
LCM(68712,68728) = 590304792