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What is the Least Common Multiple of 56959 and 56967?

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 56959 and 56967 is 3244783353.

LCM(56959,56967) = 3244783353

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Least Common Multiple of 56959 and 56967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56959 and 56967, than apply into the LCM equation.

GCF(56959,56967) = 1
LCM(56959,56967) = ( 56959 × 56967) / 1
LCM(56959,56967) = 3244783353 / 1
LCM(56959,56967) = 3244783353

Least Common Multiple (LCM) of 56959 and 56967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56959 and 56967. First we will calculate the prime factors of 56959 and 56967.

Prime Factorization of 56959

Prime factors of 56959 are 7, 79, 103. Prime factorization of 56959 in exponential form is:

56959 = 71 × 791 × 1031

Prime Factorization of 56967

Prime factors of 56967 are 3, 17, 1117. Prime factorization of 56967 in exponential form is:

56967 = 31 × 171 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 56959 and 56967.

LCM(56959,56967) = 71 × 791 × 1031 × 31 × 171 × 11171
LCM(56959,56967) = 3244783353