GCF and LCM Calculator Logo

What is the Least Common Multiple of 54148 and 54159?

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 54148 and 54159 is 2932601532.

LCM(54148,54159) = 2932601532

LCM Calculator and
and

Least Common Multiple of 54148 and 54159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54148 and 54159, than apply into the LCM equation.

GCF(54148,54159) = 1
LCM(54148,54159) = ( 54148 × 54159) / 1
LCM(54148,54159) = 2932601532 / 1
LCM(54148,54159) = 2932601532

Least Common Multiple (LCM) of 54148 and 54159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54148 and 54159. First we will calculate the prime factors of 54148 and 54159.

Prime Factorization of 54148

Prime factors of 54148 are 2, 13537. Prime factorization of 54148 in exponential form is:

54148 = 22 × 135371

Prime Factorization of 54159

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

54159 = 31 × 71 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 54148 and 54159.

LCM(54148,54159) = 22 × 135371 × 31 × 71 × 25791
LCM(54148,54159) = 2932601532