What is the Least Common Multiple of 46559 and 46577?

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 46559 and 46577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46559 and 46577, than apply into the LCM equation.

GCF(46559,46577) = 1
LCM(46559,46577) = ( 46559 × 46577) / 1
LCM(46559,46577) = 2168578543 / 1
LCM(46559,46577) = 2168578543

Least Common Multiple (LCM) of 46559 and 46577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46559 and 46577. First we will calculate the prime factors of 46559 and 46577.

Prime Factorization of 46559

Prime Factorization of 46577

Now multiplying the highest exponent prime factors to calculate the LCM of 46559 and 46577.

LCM(46559,46577) = 46559¹ × 47¹ × 991¹
LCM(46559,46577) = 2168578543