GCF and LCM Calculator Logo

What is the Least Common Multiple of 56358 and 56372?

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 56358 and 56372 is 1588506588.

LCM(56358,56372) = 1588506588

LCM Calculator and
and

Least Common Multiple of 56358 and 56372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56358 and 56372, than apply into the LCM equation.

GCF(56358,56372) = 2
LCM(56358,56372) = ( 56358 × 56372) / 2
LCM(56358,56372) = 3177013176 / 2
LCM(56358,56372) = 1588506588

Least Common Multiple (LCM) of 56358 and 56372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56358 and 56372. First we will calculate the prime factors of 56358 and 56372.

Prime Factorization of 56358

Prime factors of 56358 are 2, 3, 31, 101. Prime factorization of 56358 in exponential form is:

56358 = 21 × 32 × 311 × 1011

Prime Factorization of 56372

Prime factors of 56372 are 2, 17, 829. Prime factorization of 56372 in exponential form is:

56372 = 22 × 171 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 56358 and 56372.

LCM(56358,56372) = 22 × 32 × 311 × 1011 × 171 × 8291
LCM(56358,56372) = 1588506588