What is the Least Common Multiple of 35776 and 35789?

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 35789 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 35789, than apply into the LCM equation.

GCF(35776,35789) = 13
LCM(35776,35789) = ( 35776 × 35789) / 13
LCM(35776,35789) = 1280387264 / 13
LCM(35776,35789) = 98491328

Least Common Multiple (LCM) of 35776 and 35789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35776 and 35789. First we will calculate the prime factors of 35776 and 35789.

Prime Factorization of 35776

Prime Factorization of 35789

Now multiplying the highest exponent prime factors to calculate the LCM of 35776 and 35789.

LCM(35776,35789) = 2⁶ × 13¹ × 43¹ × 2753¹
LCM(35776,35789) = 98491328