GCF and LCM Calculator Logo

What is the Least Common Multiple of 54332 and 54345?

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 54332 and 54345 is 2952672540.

LCM(54332,54345) = 2952672540

LCM Calculator and
and

Least Common Multiple of 54332 and 54345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54332 and 54345, than apply into the LCM equation.

GCF(54332,54345) = 1
LCM(54332,54345) = ( 54332 × 54345) / 1
LCM(54332,54345) = 2952672540 / 1
LCM(54332,54345) = 2952672540

Least Common Multiple (LCM) of 54332 and 54345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54332 and 54345. First we will calculate the prime factors of 54332 and 54345.

Prime Factorization of 54332

Prime factors of 54332 are 2, 17, 47. Prime factorization of 54332 in exponential form is:

54332 = 22 × 172 × 471

Prime Factorization of 54345

Prime factors of 54345 are 3, 5, 3623. Prime factorization of 54345 in exponential form is:

54345 = 31 × 51 × 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 54332 and 54345.

LCM(54332,54345) = 22 × 172 × 471 × 31 × 51 × 36231
LCM(54332,54345) = 2952672540