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What is the Least Common Multiple of 55917 and 55935?

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 55917 and 55935 is 347524155.

LCM(55917,55935) = 347524155

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Least Common Multiple of 55917 and 55935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55917 and 55935, than apply into the LCM equation.

GCF(55917,55935) = 9
LCM(55917,55935) = ( 55917 × 55935) / 9
LCM(55917,55935) = 3127717395 / 9
LCM(55917,55935) = 347524155

Least Common Multiple (LCM) of 55917 and 55935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55917 and 55935. First we will calculate the prime factors of 55917 and 55935.

Prime Factorization of 55917

Prime factors of 55917 are 3, 19, 109. Prime factorization of 55917 in exponential form is:

55917 = 33 × 191 × 1091

Prime Factorization of 55935

Prime factors of 55935 are 3, 5, 11, 113. Prime factorization of 55935 in exponential form is:

55935 = 32 × 51 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 55917 and 55935.

LCM(55917,55935) = 33 × 191 × 1091 × 51 × 111 × 1131
LCM(55917,55935) = 347524155