GCF and LCM Calculator Logo

What is the Least Common Multiple of 54215 and 54232?

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 54215 and 54232 is 2940187880.

LCM(54215,54232) = 2940187880

LCM Calculator and
and

Least Common Multiple of 54215 and 54232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54215 and 54232, than apply into the LCM equation.

GCF(54215,54232) = 1
LCM(54215,54232) = ( 54215 × 54232) / 1
LCM(54215,54232) = 2940187880 / 1
LCM(54215,54232) = 2940187880

Least Common Multiple (LCM) of 54215 and 54232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54215 and 54232. First we will calculate the prime factors of 54215 and 54232.

Prime Factorization of 54215

Prime factors of 54215 are 5, 7, 1549. Prime factorization of 54215 in exponential form is:

54215 = 51 × 71 × 15491

Prime Factorization of 54232

Prime factors of 54232 are 2, 6779. Prime factorization of 54232 in exponential form is:

54232 = 23 × 67791

Now multiplying the highest exponent prime factors to calculate the LCM of 54215 and 54232.

LCM(54215,54232) = 51 × 71 × 15491 × 23 × 67791
LCM(54215,54232) = 2940187880