GCF and LCM Calculator Logo

What is the Least Common Multiple of 54464 and 54473?

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 54464 and 54473 is 2966817472.

LCM(54464,54473) = 2966817472

LCM Calculator and
and

Least Common Multiple of 54464 and 54473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54464 and 54473, than apply into the LCM equation.

GCF(54464,54473) = 1
LCM(54464,54473) = ( 54464 × 54473) / 1
LCM(54464,54473) = 2966817472 / 1
LCM(54464,54473) = 2966817472

Least Common Multiple (LCM) of 54464 and 54473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54464 and 54473. First we will calculate the prime factors of 54464 and 54473.

Prime Factorization of 54464

Prime factors of 54464 are 2, 23, 37. Prime factorization of 54464 in exponential form is:

54464 = 26 × 231 × 371

Prime Factorization of 54473

Prime factors of 54473 are 19, 47, 61. Prime factorization of 54473 in exponential form is:

54473 = 191 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54464 and 54473.

LCM(54464,54473) = 26 × 231 × 371 × 191 × 471 × 611
LCM(54464,54473) = 2966817472