GCF and LCM Calculator Logo

What is the Least Common Multiple of 46151 and 46155?

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 (LCM) of 46151 and 46155 is 2130099405.

LCM(46151,46155) = 2130099405

LCM Calculator and
and

Least Common Multiple of 46151 and 46155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46151 and 46155, than apply into the LCM equation.

GCF(46151,46155) = 1
LCM(46151,46155) = ( 46151 × 46155) / 1
LCM(46151,46155) = 2130099405 / 1
LCM(46151,46155) = 2130099405

Least Common Multiple (LCM) of 46151 and 46155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46151 and 46155. First we will calculate the prime factors of 46151 and 46155.

Prime Factorization of 46151

Prime factors of 46151 are 7, 19, 347. Prime factorization of 46151 in exponential form is:

46151 = 71 × 191 × 3471

Prime Factorization of 46155

Prime factors of 46155 are 3, 5, 17, 181. Prime factorization of 46155 in exponential form is:

46155 = 31 × 51 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 46151 and 46155.

LCM(46151,46155) = 71 × 191 × 3471 × 31 × 51 × 171 × 1811
LCM(46151,46155) = 2130099405