GCF and LCM Calculator Logo

What is the Least Common Multiple of 46136 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 46136 and 46155 is 2129407080.

LCM(46136,46155) = 2129407080

LCM Calculator and
and

Least Common Multiple of 46136 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 46136 and 46155, than apply into the LCM equation.

GCF(46136,46155) = 1
LCM(46136,46155) = ( 46136 × 46155) / 1
LCM(46136,46155) = 2129407080 / 1
LCM(46136,46155) = 2129407080

Least Common Multiple (LCM) of 46136 and 46155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46136 and 46155. First we will calculate the prime factors of 46136 and 46155.

Prime Factorization of 46136

Prime factors of 46136 are 2, 73, 79. Prime factorization of 46136 in exponential form is:

46136 = 23 × 731 × 791

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 46136 and 46155.

LCM(46136,46155) = 23 × 731 × 791 × 31 × 51 × 171 × 1811
LCM(46136,46155) = 2129407080