What is the Least Common Multiple of 46059 and 46074?

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 46059 and 46074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46059 and 46074, than apply into the LCM equation.

GCF(46059,46074) = 3
LCM(46059,46074) = ( 46059 × 46074) / 3
LCM(46059,46074) = 2122122366 / 3
LCM(46059,46074) = 707374122

Least Common Multiple (LCM) of 46059 and 46074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46059 and 46074. First we will calculate the prime factors of 46059 and 46074.

Prime Factorization of 46059

Prime Factorization of 46074

Now multiplying the highest exponent prime factors to calculate the LCM of 46059 and 46074.

LCM(46059,46074) = 3¹ × 13¹ × 1181¹ × 2¹ × 7¹ × 1097¹
LCM(46059,46074) = 707374122