GCF and LCM Calculator Logo

What is the Least Common Multiple of 54190 and 54197?

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 54190 and 54197 is 2936935430.

LCM(54190,54197) = 2936935430

LCM Calculator and
and

Least Common Multiple of 54190 and 54197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54190 and 54197, than apply into the LCM equation.

GCF(54190,54197) = 1
LCM(54190,54197) = ( 54190 × 54197) / 1
LCM(54190,54197) = 2936935430 / 1
LCM(54190,54197) = 2936935430

Least Common Multiple (LCM) of 54190 and 54197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54190 and 54197. First we will calculate the prime factors of 54190 and 54197.

Prime Factorization of 54190

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

54190 = 21 × 51 × 54191

Prime Factorization of 54197

Prime factors of 54197 are 11, 13, 379. Prime factorization of 54197 in exponential form is:

54197 = 111 × 131 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 54190 and 54197.

LCM(54190,54197) = 21 × 51 × 54191 × 111 × 131 × 3791
LCM(54190,54197) = 2936935430