What is the Least Common Multiple of 46577 and 46597?

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 46577 and 46597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46577 and 46597, than apply into the LCM equation.

GCF(46577,46597) = 1
LCM(46577,46597) = ( 46577 × 46597) / 1
LCM(46577,46597) = 2170348469 / 1
LCM(46577,46597) = 2170348469

Least Common Multiple (LCM) of 46577 and 46597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46577 and 46597. First we will calculate the prime factors of 46577 and 46597.

Prime Factorization of 46577

Prime Factorization of 46597

Now multiplying the highest exponent prime factors to calculate the LCM of 46577 and 46597.

LCM(46577,46597) = 47¹ × 991¹ × 17¹ × 2741¹
LCM(46577,46597) = 2170348469