What is the Least Common Multiple of 46077 and 46083?

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 46077 and 46083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46077 and 46083, than apply into the LCM equation.

GCF(46077,46083) = 3
LCM(46077,46083) = ( 46077 × 46083) / 3
LCM(46077,46083) = 2123366391 / 3
LCM(46077,46083) = 707788797

Least Common Multiple (LCM) of 46077 and 46083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46077 and 46083. First we will calculate the prime factors of 46077 and 46083.

Prime Factorization of 46077

Prime Factorization of 46083

Now multiplying the highest exponent prime factors to calculate the LCM of 46077 and 46083.

LCM(46077,46083) = 3¹ × 15359¹ × 15361¹
LCM(46077,46083) = 707788797