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What is the Least Common Multiple of 56542 and 56555?

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 56542 and 56555 is 3197732810.

LCM(56542,56555) = 3197732810

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Least Common Multiple of 56542 and 56555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56542 and 56555, than apply into the LCM equation.

GCF(56542,56555) = 1
LCM(56542,56555) = ( 56542 × 56555) / 1
LCM(56542,56555) = 3197732810 / 1
LCM(56542,56555) = 3197732810

Least Common Multiple (LCM) of 56542 and 56555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56542 and 56555. First we will calculate the prime factors of 56542 and 56555.

Prime Factorization of 56542

Prime factors of 56542 are 2, 17, 1663. Prime factorization of 56542 in exponential form is:

56542 = 21 × 171 × 16631

Prime Factorization of 56555

Prime factors of 56555 are 5, 11311. Prime factorization of 56555 in exponential form is:

56555 = 51 × 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 56542 and 56555.

LCM(56542,56555) = 21 × 171 × 16631 × 51 × 113111
LCM(56542,56555) = 3197732810