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What is the Least Common Multiple of 56826 and 56832?

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 56826 and 56832 is 538255872.

LCM(56826,56832) = 538255872

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Least Common Multiple of 56826 and 56832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56826 and 56832, than apply into the LCM equation.

GCF(56826,56832) = 6
LCM(56826,56832) = ( 56826 × 56832) / 6
LCM(56826,56832) = 3229535232 / 6
LCM(56826,56832) = 538255872

Least Common Multiple (LCM) of 56826 and 56832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56826 and 56832. First we will calculate the prime factors of 56826 and 56832.

Prime Factorization of 56826

Prime factors of 56826 are 2, 3, 7, 11, 41. Prime factorization of 56826 in exponential form is:

56826 = 21 × 32 × 71 × 111 × 411

Prime Factorization of 56832

Prime factors of 56832 are 2, 3, 37. Prime factorization of 56832 in exponential form is:

56832 = 29 × 31 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56826 and 56832.

LCM(56826,56832) = 29 × 32 × 71 × 111 × 411 × 371
LCM(56826,56832) = 538255872