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What is the Least Common Multiple of 56217 and 56233?

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 56217 and 56233 is 3161250561.

LCM(56217,56233) = 3161250561

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Least Common Multiple of 56217 and 56233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56217 and 56233, than apply into the LCM equation.

GCF(56217,56233) = 1
LCM(56217,56233) = ( 56217 × 56233) / 1
LCM(56217,56233) = 3161250561 / 1
LCM(56217,56233) = 3161250561

Least Common Multiple (LCM) of 56217 and 56233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56217 and 56233. First we will calculate the prime factors of 56217 and 56233.

Prime Factorization of 56217

Prime factors of 56217 are 3, 7, 2677. Prime factorization of 56217 in exponential form is:

56217 = 31 × 71 × 26771

Prime Factorization of 56233

Prime factors of 56233 are 53, 1061. Prime factorization of 56233 in exponential form is:

56233 = 531 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 56217 and 56233.

LCM(56217,56233) = 31 × 71 × 26771 × 531 × 10611
LCM(56217,56233) = 3161250561