GCF and LCM Calculator Logo

What is the Least Common Multiple of 57364 and 57380?

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 57364 and 57380 is 822886580.

LCM(57364,57380) = 822886580

LCM Calculator and
and

Least Common Multiple of 57364 and 57380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57364 and 57380, than apply into the LCM equation.

GCF(57364,57380) = 4
LCM(57364,57380) = ( 57364 × 57380) / 4
LCM(57364,57380) = 3291546320 / 4
LCM(57364,57380) = 822886580

Least Common Multiple (LCM) of 57364 and 57380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57364 and 57380. First we will calculate the prime factors of 57364 and 57380.

Prime Factorization of 57364

Prime factors of 57364 are 2, 14341. Prime factorization of 57364 in exponential form is:

57364 = 22 × 143411

Prime Factorization of 57380

Prime factors of 57380 are 2, 5, 19, 151. Prime factorization of 57380 in exponential form is:

57380 = 22 × 51 × 191 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 57364 and 57380.

LCM(57364,57380) = 22 × 143411 × 51 × 191 × 1511
LCM(57364,57380) = 822886580