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What is the Least Common Multiple of 56366 and 56380?

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 56366 and 56380 is 1588957540.

LCM(56366,56380) = 1588957540

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Least Common Multiple of 56366 and 56380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56366 and 56380, than apply into the LCM equation.

GCF(56366,56380) = 2
LCM(56366,56380) = ( 56366 × 56380) / 2
LCM(56366,56380) = 3177915080 / 2
LCM(56366,56380) = 1588957540

Least Common Multiple (LCM) of 56366 and 56380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56366 and 56380. First we will calculate the prime factors of 56366 and 56380.

Prime Factorization of 56366

Prime factors of 56366 are 2, 28183. Prime factorization of 56366 in exponential form is:

56366 = 21 × 281831

Prime Factorization of 56380

Prime factors of 56380 are 2, 5, 2819. Prime factorization of 56380 in exponential form is:

56380 = 22 × 51 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 56366 and 56380.

LCM(56366,56380) = 22 × 281831 × 51 × 28191
LCM(56366,56380) = 1588957540