GCF and LCM Calculator Logo

What is the Least Common Multiple of 4143 and 4154?

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 4143 and 4154 is 17210022.

LCM(4143,4154) = 17210022

LCM Calculator and
and

Least Common Multiple of 4143 and 4154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4143 and 4154, than apply into the LCM equation.

GCF(4143,4154) = 1
LCM(4143,4154) = ( 4143 × 4154) / 1
LCM(4143,4154) = 17210022 / 1
LCM(4143,4154) = 17210022

Least Common Multiple (LCM) of 4143 and 4154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4143 and 4154. First we will calculate the prime factors of 4143 and 4154.

Prime Factorization of 4143

Prime factors of 4143 are 3, 1381. Prime factorization of 4143 in exponential form is:

4143 = 31 × 13811

Prime Factorization of 4154

Prime factors of 4154 are 2, 31, 67. Prime factorization of 4154 in exponential form is:

4154 = 21 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4143 and 4154.

LCM(4143,4154) = 31 × 13811 × 21 × 311 × 671
LCM(4143,4154) = 17210022