What is the Least Common Multiple of 63569 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 63569 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 63569 and 63583, than apply into the LCM equation.

GCF(63569,63583) = 1
LCM(63569,63583) = ( 63569 × 63583) / 1
LCM(63569,63583) = 4041907727 / 1
LCM(63569,63583) = 4041907727

Least Common Multiple (LCM) of 63569 and 63583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63569 and 63583. First we will calculate the prime factors of 63569 and 63583.

Prime Factorization of 63569

Prime Factorization of 63583

Now multiplying the highest exponent prime factors to calculate the LCM of 63569 and 63583.

LCM(63569,63583) = 11¹ × 5779¹ × 13¹ × 67¹ × 73¹
LCM(63569,63583) = 4041907727