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What is the Least Common Multiple of 55517 and 55524?

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 55517 and 55524 is 440360844.

LCM(55517,55524) = 440360844

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Least Common Multiple of 55517 and 55524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55517 and 55524, than apply into the LCM equation.

GCF(55517,55524) = 7
LCM(55517,55524) = ( 55517 × 55524) / 7
LCM(55517,55524) = 3082525908 / 7
LCM(55517,55524) = 440360844

Least Common Multiple (LCM) of 55517 and 55524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55517 and 55524. First we will calculate the prime factors of 55517 and 55524.

Prime Factorization of 55517

Prime factors of 55517 are 7, 11, 103. Prime factorization of 55517 in exponential form is:

55517 = 72 × 111 × 1031

Prime Factorization of 55524

Prime factors of 55524 are 2, 3, 7, 661. Prime factorization of 55524 in exponential form is:

55524 = 22 × 31 × 71 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 55517 and 55524.

LCM(55517,55524) = 72 × 111 × 1031 × 22 × 31 × 6611
LCM(55517,55524) = 440360844