What is the Least Common Multiple of 46110 and 46129?

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 46110 and 46129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46110 and 46129, than apply into the LCM equation.

GCF(46110,46129) = 1
LCM(46110,46129) = ( 46110 × 46129) / 1
LCM(46110,46129) = 2127008190 / 1
LCM(46110,46129) = 2127008190

Least Common Multiple (LCM) of 46110 and 46129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46110 and 46129. First we will calculate the prime factors of 46110 and 46129.

Prime Factorization of 46110

Prime Factorization of 46129

Now multiplying the highest exponent prime factors to calculate the LCM of 46110 and 46129.

LCM(46110,46129) = 2¹ × 3¹ × 5¹ × 29¹ × 53¹ × 163¹ × 283¹
LCM(46110,46129) = 2127008190