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What is the Least Common Multiple of 55465 and 55477?

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 55465 and 55477 is 3077031805.

LCM(55465,55477) = 3077031805

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Least Common Multiple of 55465 and 55477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55465 and 55477, than apply into the LCM equation.

GCF(55465,55477) = 1
LCM(55465,55477) = ( 55465 × 55477) / 1
LCM(55465,55477) = 3077031805 / 1
LCM(55465,55477) = 3077031805

Least Common Multiple (LCM) of 55465 and 55477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55465 and 55477. First we will calculate the prime factors of 55465 and 55477.

Prime Factorization of 55465

Prime factors of 55465 are 5, 11093. Prime factorization of 55465 in exponential form is:

55465 = 51 × 110931

Prime Factorization of 55477

Prime factors of 55477 are 29, 1913. Prime factorization of 55477 in exponential form is:

55477 = 291 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 55465 and 55477.

LCM(55465,55477) = 51 × 110931 × 291 × 19131
LCM(55465,55477) = 3077031805