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What is the Least Common Multiple of 55787 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 55787 and 55803 is 3113081961.

LCM(55787,55803) = 3113081961

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Least Common Multiple of 55787 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 55787 and 55803, than apply into the LCM equation.

GCF(55787,55803) = 1
LCM(55787,55803) = ( 55787 × 55803) / 1
LCM(55787,55803) = 3113081961 / 1
LCM(55787,55803) = 3113081961

Least Common Multiple (LCM) of 55787 and 55803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55787 and 55803. First we will calculate the prime factors of 55787 and 55803.

Prime Factorization of 55787

Prime factors of 55787 are 55787. Prime factorization of 55787 in exponential form is:

55787 = 557871

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 55787 and 55803.

LCM(55787,55803) = 557871 × 31 × 111 × 191 × 891
LCM(55787,55803) = 3113081961