GCF and LCM Calculator Logo

What is the Least Common Multiple of 54377 and 54395?

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 54377 and 54395 is 2957836915.

LCM(54377,54395) = 2957836915

LCM Calculator and
and

Least Common Multiple of 54377 and 54395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54377 and 54395, than apply into the LCM equation.

GCF(54377,54395) = 1
LCM(54377,54395) = ( 54377 × 54395) / 1
LCM(54377,54395) = 2957836915 / 1
LCM(54377,54395) = 2957836915

Least Common Multiple (LCM) of 54377 and 54395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54377 and 54395. First we will calculate the prime factors of 54377 and 54395.

Prime Factorization of 54377

Prime factors of 54377 are 54377. Prime factorization of 54377 in exponential form is:

54377 = 543771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 54377 and 54395.

LCM(54377,54395) = 543771 × 51 × 111 × 231 × 431
LCM(54377,54395) = 2957836915