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What is the Least Common Multiple of 56822 and 56833?

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 56822 and 56833 is 3229364726.

LCM(56822,56833) = 3229364726

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Least Common Multiple of 56822 and 56833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56822 and 56833, than apply into the LCM equation.

GCF(56822,56833) = 1
LCM(56822,56833) = ( 56822 × 56833) / 1
LCM(56822,56833) = 3229364726 / 1
LCM(56822,56833) = 3229364726

Least Common Multiple (LCM) of 56822 and 56833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56822 and 56833. First we will calculate the prime factors of 56822 and 56833.

Prime Factorization of 56822

Prime factors of 56822 are 2, 28411. Prime factorization of 56822 in exponential form is:

56822 = 21 × 284111

Prime Factorization of 56833

Prime factors of 56833 are 7, 23, 353. Prime factorization of 56833 in exponential form is:

56833 = 71 × 231 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 56822 and 56833.

LCM(56822,56833) = 21 × 284111 × 71 × 231 × 3531
LCM(56822,56833) = 3229364726