GCF and LCM Calculator Logo

What is the Least Common Multiple of 54176 and 54190?

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 54176 and 54190 is 1467898720.

LCM(54176,54190) = 1467898720

LCM Calculator and
and

Least Common Multiple of 54176 and 54190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54176 and 54190, than apply into the LCM equation.

GCF(54176,54190) = 2
LCM(54176,54190) = ( 54176 × 54190) / 2
LCM(54176,54190) = 2935797440 / 2
LCM(54176,54190) = 1467898720

Least Common Multiple (LCM) of 54176 and 54190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54176 and 54190. First we will calculate the prime factors of 54176 and 54190.

Prime Factorization of 54176

Prime factors of 54176 are 2, 1693. Prime factorization of 54176 in exponential form is:

54176 = 25 × 16931

Prime Factorization of 54190

Prime factors of 54190 are 2, 5, 5419. Prime factorization of 54190 in exponential form is:

54190 = 21 × 51 × 54191

Now multiplying the highest exponent prime factors to calculate the LCM of 54176 and 54190.

LCM(54176,54190) = 25 × 16931 × 51 × 54191
LCM(54176,54190) = 1467898720