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What is the Least Common Multiple of 55808 and 55816?

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 55808 and 55816 is 389372416.

LCM(55808,55816) = 389372416

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Least Common Multiple of 55808 and 55816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55808 and 55816, than apply into the LCM equation.

GCF(55808,55816) = 8
LCM(55808,55816) = ( 55808 × 55816) / 8
LCM(55808,55816) = 3114979328 / 8
LCM(55808,55816) = 389372416

Least Common Multiple (LCM) of 55808 and 55816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55808 and 55816. First we will calculate the prime factors of 55808 and 55816.

Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 29 × 1091

Prime Factorization of 55816

Prime factors of 55816 are 2, 6977. Prime factorization of 55816 in exponential form is:

55816 = 23 × 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 55808 and 55816.

LCM(55808,55816) = 29 × 1091 × 69771
LCM(55808,55816) = 389372416