What is the Least Common Multiple of 46261 and 46272?

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 46261 and 46272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46261 and 46272, than apply into the LCM equation.

GCF(46261,46272) = 1
LCM(46261,46272) = ( 46261 × 46272) / 1
LCM(46261,46272) = 2140588992 / 1
LCM(46261,46272) = 2140588992

Least Common Multiple (LCM) of 46261 and 46272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46261 and 46272. First we will calculate the prime factors of 46261 and 46272.

Prime Factorization of 46261

Prime Factorization of 46272

Now multiplying the highest exponent prime factors to calculate the LCM of 46261 and 46272.

LCM(46261,46272) = 46261¹ × 2⁶ × 3¹ × 241¹
LCM(46261,46272) = 2140588992