What is the Least Common Multiple of 35776 and 35794?

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 35776 and 35794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35776 and 35794, than apply into the LCM equation.

GCF(35776,35794) = 2
LCM(35776,35794) = ( 35776 × 35794) / 2
LCM(35776,35794) = 1280566144 / 2
LCM(35776,35794) = 640283072

Least Common Multiple (LCM) of 35776 and 35794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35776 and 35794. First we will calculate the prime factors of 35776 and 35794.

Prime Factorization of 35776

Prime Factorization of 35794

Now multiplying the highest exponent prime factors to calculate the LCM of 35776 and 35794.

LCM(35776,35794) = 2⁶ × 13¹ × 43¹ × 11¹ × 1627¹
LCM(35776,35794) = 640283072