What is the Least Common Multiple of 35776 and 35796?

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 35796 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 35796, than apply into the LCM equation.

GCF(35776,35796) = 4
LCM(35776,35796) = ( 35776 × 35796) / 4
LCM(35776,35796) = 1280637696 / 4
LCM(35776,35796) = 320159424

Least Common Multiple (LCM) of 35776 and 35796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35776 and 35796. First we will calculate the prime factors of 35776 and 35796.

Prime Factorization of 35776

Prime Factorization of 35796

Now multiplying the highest exponent prime factors to calculate the LCM of 35776 and 35796.

LCM(35776,35796) = 2⁶ × 13¹ × 43¹ × 3¹ × 19¹ × 157¹
LCM(35776,35796) = 320159424