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What is the Least Common Multiple of 56356 and 56360?

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 56356 and 56360 is 794056040.

LCM(56356,56360) = 794056040

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Least Common Multiple of 56356 and 56360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56356 and 56360, than apply into the LCM equation.

GCF(56356,56360) = 4
LCM(56356,56360) = ( 56356 × 56360) / 4
LCM(56356,56360) = 3176224160 / 4
LCM(56356,56360) = 794056040

Least Common Multiple (LCM) of 56356 and 56360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56356 and 56360. First we will calculate the prime factors of 56356 and 56360.

Prime Factorization of 56356

Prime factors of 56356 are 2, 73, 193. Prime factorization of 56356 in exponential form is:

56356 = 22 × 731 × 1931

Prime Factorization of 56360

Prime factors of 56360 are 2, 5, 1409. Prime factorization of 56360 in exponential form is:

56360 = 23 × 51 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 56356 and 56360.

LCM(56356,56360) = 23 × 731 × 1931 × 51 × 14091
LCM(56356,56360) = 794056040