GCF and LCM Calculator Logo

What is the Least Common Multiple of 54160 and 54173?

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 54160 and 54173 is 2934009680.

LCM(54160,54173) = 2934009680

LCM Calculator and
and

Least Common Multiple of 54160 and 54173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54160 and 54173, than apply into the LCM equation.

GCF(54160,54173) = 1
LCM(54160,54173) = ( 54160 × 54173) / 1
LCM(54160,54173) = 2934009680 / 1
LCM(54160,54173) = 2934009680

Least Common Multiple (LCM) of 54160 and 54173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54160 and 54173. First we will calculate the prime factors of 54160 and 54173.

Prime Factorization of 54160

Prime factors of 54160 are 2, 5, 677. Prime factorization of 54160 in exponential form is:

54160 = 24 × 51 × 6771

Prime Factorization of 54173

Prime factors of 54173 are 7, 71, 109. Prime factorization of 54173 in exponential form is:

54173 = 71 × 711 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 54160 and 54173.

LCM(54160,54173) = 24 × 51 × 6771 × 71 × 711 × 1091
LCM(54160,54173) = 2934009680