What is the Least Common Multiple of 35777 and 35790?

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 35777 and 35790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35777 and 35790, than apply into the LCM equation.

GCF(35777,35790) = 1
LCM(35777,35790) = ( 35777 × 35790) / 1
LCM(35777,35790) = 1280458830 / 1
LCM(35777,35790) = 1280458830

Least Common Multiple (LCM) of 35777 and 35790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35777 and 35790. First we will calculate the prime factors of 35777 and 35790.

Prime Factorization of 35777

Prime Factorization of 35790

Now multiplying the highest exponent prime factors to calculate the LCM of 35777 and 35790.

LCM(35777,35790) = 7¹ × 19¹ × 269¹ × 2¹ × 3¹ × 5¹ × 1193¹
LCM(35777,35790) = 1280458830