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What is the Least Common Multiple of 56819 and 56826?

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 56819 and 56826 is 461256642.

LCM(56819,56826) = 461256642

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Least Common Multiple of 56819 and 56826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56819 and 56826, than apply into the LCM equation.

GCF(56819,56826) = 7
LCM(56819,56826) = ( 56819 × 56826) / 7
LCM(56819,56826) = 3228796494 / 7
LCM(56819,56826) = 461256642

Least Common Multiple (LCM) of 56819 and 56826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56819 and 56826. First we will calculate the prime factors of 56819 and 56826.

Prime Factorization of 56819

Prime factors of 56819 are 7, 8117. Prime factorization of 56819 in exponential form is:

56819 = 71 × 81171

Prime Factorization of 56826

Prime factors of 56826 are 2, 3, 7, 11, 41. Prime factorization of 56826 in exponential form is:

56826 = 21 × 32 × 71 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 56819 and 56826.

LCM(56819,56826) = 71 × 81171 × 21 × 32 × 111 × 411
LCM(56819,56826) = 461256642