GCF and LCM Calculator Logo

What is the Least Common Multiple of 54395 and 54406?

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 54395 and 54406 is 269037670.

LCM(54395,54406) = 269037670

LCM Calculator and
and

Least Common Multiple of 54395 and 54406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54395 and 54406, than apply into the LCM equation.

GCF(54395,54406) = 11
LCM(54395,54406) = ( 54395 × 54406) / 11
LCM(54395,54406) = 2959414370 / 11
LCM(54395,54406) = 269037670

Least Common Multiple (LCM) of 54395 and 54406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54395 and 54406. First we will calculate the prime factors of 54395 and 54406.

Prime Factorization of 54395

Prime factors of 54395 are 5, 11, 23, 43. Prime factorization of 54395 in exponential form is:

54395 = 51 × 111 × 231 × 431

Prime Factorization of 54406

Prime factors of 54406 are 2, 11, 2473. Prime factorization of 54406 in exponential form is:

54406 = 21 × 111 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 54395 and 54406.

LCM(54395,54406) = 51 × 111 × 231 × 431 × 21 × 24731
LCM(54395,54406) = 269037670