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What is the Least Common Multiple of 56846 and 56856?

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 56846 and 56856 is 1616018088.

LCM(56846,56856) = 1616018088

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Least Common Multiple of 56846 and 56856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56846 and 56856, than apply into the LCM equation.

GCF(56846,56856) = 2
LCM(56846,56856) = ( 56846 × 56856) / 2
LCM(56846,56856) = 3232036176 / 2
LCM(56846,56856) = 1616018088

Least Common Multiple (LCM) of 56846 and 56856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56846 and 56856. First we will calculate the prime factors of 56846 and 56856.

Prime Factorization of 56846

Prime factors of 56846 are 2, 43, 661. Prime factorization of 56846 in exponential form is:

56846 = 21 × 431 × 6611

Prime Factorization of 56856

Prime factors of 56856 are 2, 3, 23, 103. Prime factorization of 56856 in exponential form is:

56856 = 23 × 31 × 231 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 56846 and 56856.

LCM(56846,56856) = 23 × 431 × 6611 × 31 × 231 × 1031
LCM(56846,56856) = 1616018088