GCF and LCM Calculator Logo

What is the Least Common Multiple of 56365 and 56385?

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 56365 and 56385 is 635628105.

LCM(56365,56385) = 635628105

LCM Calculator and
and

Least Common Multiple of 56365 and 56385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56365 and 56385, than apply into the LCM equation.

GCF(56365,56385) = 5
LCM(56365,56385) = ( 56365 × 56385) / 5
LCM(56365,56385) = 3178140525 / 5
LCM(56365,56385) = 635628105

Least Common Multiple (LCM) of 56365 and 56385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56365 and 56385. First we will calculate the prime factors of 56365 and 56385.

Prime Factorization of 56365

Prime factors of 56365 are 5, 11273. Prime factorization of 56365 in exponential form is:

56365 = 51 × 112731

Prime Factorization of 56385

Prime factors of 56385 are 3, 5, 7, 179. Prime factorization of 56385 in exponential form is:

56385 = 32 × 51 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 56365 and 56385.

LCM(56365,56385) = 51 × 112731 × 32 × 71 × 1791
LCM(56365,56385) = 635628105