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What is the Least Common Multiple of 56838 and 56848?

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 56838 and 56848 is 1615563312.

LCM(56838,56848) = 1615563312

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Least Common Multiple of 56838 and 56848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56838 and 56848, than apply into the LCM equation.

GCF(56838,56848) = 2
LCM(56838,56848) = ( 56838 × 56848) / 2
LCM(56838,56848) = 3231126624 / 2
LCM(56838,56848) = 1615563312

Least Common Multiple (LCM) of 56838 and 56848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56838 and 56848. First we will calculate the prime factors of 56838 and 56848.

Prime Factorization of 56838

Prime factors of 56838 are 2, 3, 9473. Prime factorization of 56838 in exponential form is:

56838 = 21 × 31 × 94731

Prime Factorization of 56848

Prime factors of 56848 are 2, 11, 17, 19. Prime factorization of 56848 in exponential form is:

56848 = 24 × 111 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 56838 and 56848.

LCM(56838,56848) = 24 × 31 × 94731 × 111 × 171 × 191
LCM(56838,56848) = 1615563312