What is the Least Common Multiple of 67788 and 67798?

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 67788 and 67798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67788 and 67798, than apply into the LCM equation.

GCF(67788,67798) = 2
LCM(67788,67798) = ( 67788 × 67798) / 2
LCM(67788,67798) = 4595890824 / 2
LCM(67788,67798) = 2297945412

Least Common Multiple (LCM) of 67788 and 67798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67788 and 67798. First we will calculate the prime factors of 67788 and 67798.

Prime Factorization of 67788

Prime Factorization of 67798

Now multiplying the highest exponent prime factors to calculate the LCM of 67788 and 67798.

LCM(67788,67798) = 2² × 3² × 7¹ × 269¹ × 109¹ × 311¹
LCM(67788,67798) = 2297945412