GCF and LCM Calculator Logo

What is the Least Common Multiple of 54159 and 54163?

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 54159 and 54163 is 2933413917.

LCM(54159,54163) = 2933413917

LCM Calculator and
and

Least Common Multiple of 54159 and 54163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54159 and 54163, than apply into the LCM equation.

GCF(54159,54163) = 1
LCM(54159,54163) = ( 54159 × 54163) / 1
LCM(54159,54163) = 2933413917 / 1
LCM(54159,54163) = 2933413917

Least Common Multiple (LCM) of 54159 and 54163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54159 and 54163. First we will calculate the prime factors of 54159 and 54163.

Prime Factorization of 54159

Prime factors of 54159 are 3, 7, 2579. Prime factorization of 54159 in exponential form is:

54159 = 31 × 71 × 25791

Prime Factorization of 54163

Prime factors of 54163 are 54163. Prime factorization of 54163 in exponential form is:

54163 = 541631

Now multiplying the highest exponent prime factors to calculate the LCM of 54159 and 54163.

LCM(54159,54163) = 31 × 71 × 25791 × 541631
LCM(54159,54163) = 2933413917