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What is the Least Common Multiple of 55643 and 55650?

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 55643 and 55650 is 442361850.

LCM(55643,55650) = 442361850

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Least Common Multiple of 55643 and 55650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55643 and 55650, than apply into the LCM equation.

GCF(55643,55650) = 7
LCM(55643,55650) = ( 55643 × 55650) / 7
LCM(55643,55650) = 3096532950 / 7
LCM(55643,55650) = 442361850

Least Common Multiple (LCM) of 55643 and 55650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55643 and 55650. First we will calculate the prime factors of 55643 and 55650.

Prime Factorization of 55643

Prime factors of 55643 are 7, 7949. Prime factorization of 55643 in exponential form is:

55643 = 71 × 79491

Prime Factorization of 55650

Prime factors of 55650 are 2, 3, 5, 7, 53. Prime factorization of 55650 in exponential form is:

55650 = 21 × 31 × 52 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 55643 and 55650.

LCM(55643,55650) = 71 × 79491 × 21 × 31 × 52 × 531
LCM(55643,55650) = 442361850