What is the Least Common Multiple of 35776 and 35780?

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 35780 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 35780, than apply into the LCM equation.

GCF(35776,35780) = 4
LCM(35776,35780) = ( 35776 × 35780) / 4
LCM(35776,35780) = 1280065280 / 4
LCM(35776,35780) = 320016320

Least Common Multiple (LCM) of 35776 and 35780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35776 and 35780. First we will calculate the prime factors of 35776 and 35780.

Prime Factorization of 35776

Prime Factorization of 35780

Now multiplying the highest exponent prime factors to calculate the LCM of 35776 and 35780.

LCM(35776,35780) = 2⁶ × 13¹ × 43¹ × 5¹ × 1789¹
LCM(35776,35780) = 320016320