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What is the Least Common Multiple of 56522 and 56541?

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 56522 and 56541 is 3195810402.

LCM(56522,56541) = 3195810402

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Least Common Multiple of 56522 and 56541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56522 and 56541, than apply into the LCM equation.

GCF(56522,56541) = 1
LCM(56522,56541) = ( 56522 × 56541) / 1
LCM(56522,56541) = 3195810402 / 1
LCM(56522,56541) = 3195810402

Least Common Multiple (LCM) of 56522 and 56541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56522 and 56541. First we will calculate the prime factors of 56522 and 56541.

Prime Factorization of 56522

Prime factors of 56522 are 2, 59, 479. Prime factorization of 56522 in exponential form is:

56522 = 21 × 591 × 4791

Prime Factorization of 56541

Prime factors of 56541 are 3, 47, 401. Prime factorization of 56541 in exponential form is:

56541 = 31 × 471 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 56522 and 56541.

LCM(56522,56541) = 21 × 591 × 4791 × 31 × 471 × 4011
LCM(56522,56541) = 3195810402