What is the Least Common Multiple of 63577 and 63583?

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 63577 and 63583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63577 and 63583, than apply into the LCM equation.

GCF(63577,63583) = 1
LCM(63577,63583) = ( 63577 × 63583) / 1
LCM(63577,63583) = 4042416391 / 1
LCM(63577,63583) = 4042416391

Least Common Multiple (LCM) of 63577 and 63583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63577 and 63583. First we will calculate the prime factors of 63577 and 63583.

Prime Factorization of 63577

Prime Factorization of 63583

Now multiplying the highest exponent prime factors to calculate the LCM of 63577 and 63583.

LCM(63577,63583) = 63577¹ × 13¹ × 67¹ × 73¹
LCM(63577,63583) = 4042416391