What is the Least Common Multiple of 65577 and 65583?

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 65577 and 65583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65577 and 65583, than apply into the LCM equation.

GCF(65577,65583) = 3
LCM(65577,65583) = ( 65577 × 65583) / 3
LCM(65577,65583) = 4300736391 / 3
LCM(65577,65583) = 1433578797

Least Common Multiple (LCM) of 65577 and 65583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65577 and 65583. First we will calculate the prime factors of 65577 and 65583.

Prime Factorization of 65577

Prime Factorization of 65583

Now multiplying the highest exponent prime factors to calculate the LCM of 65577 and 65583.

LCM(65577,65583) = 3³ × 21859¹ × 7¹ × 347¹
LCM(65577,65583) = 1433578797