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What is the Least Common Multiple of 55797 and 55803?

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 55797 and 55803 is 1037879997.

LCM(55797,55803) = 1037879997

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Least Common Multiple of 55797 and 55803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55797 and 55803, than apply into the LCM equation.

GCF(55797,55803) = 3
LCM(55797,55803) = ( 55797 × 55803) / 3
LCM(55797,55803) = 3113639991 / 3
LCM(55797,55803) = 1037879997

Least Common Multiple (LCM) of 55797 and 55803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55797 and 55803. First we will calculate the prime factors of 55797 and 55803.

Prime Factorization of 55797

Prime factors of 55797 are 3, 7, 2657. Prime factorization of 55797 in exponential form is:

55797 = 31 × 71 × 26571

Prime Factorization of 55803

Prime factors of 55803 are 3, 11, 19, 89. Prime factorization of 55803 in exponential form is:

55803 = 31 × 111 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 55797 and 55803.

LCM(55797,55803) = 31 × 71 × 26571 × 111 × 191 × 891
LCM(55797,55803) = 1037879997