What is the Least Common Multiple of 34776 and 34794?

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 34776 and 34794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34776 and 34794, than apply into the LCM equation.

GCF(34776,34794) = 18
LCM(34776,34794) = ( 34776 × 34794) / 18
LCM(34776,34794) = 1209996144 / 18
LCM(34776,34794) = 67222008

Least Common Multiple (LCM) of 34776 and 34794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34776 and 34794. First we will calculate the prime factors of 34776 and 34794.

Prime Factorization of 34776

Prime Factorization of 34794

Now multiplying the highest exponent prime factors to calculate the LCM of 34776 and 34794.

LCM(34776,34794) = 2³ × 3³ × 7¹ × 23¹ × 1933¹
LCM(34776,34794) = 67222008