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What is the Least Common Multiple of 55403 and 55422?

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 55403 and 55422 is 3070545066.

LCM(55403,55422) = 3070545066

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Least Common Multiple of 55403 and 55422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55403 and 55422, than apply into the LCM equation.

GCF(55403,55422) = 1
LCM(55403,55422) = ( 55403 × 55422) / 1
LCM(55403,55422) = 3070545066 / 1
LCM(55403,55422) = 3070545066

Least Common Multiple (LCM) of 55403 and 55422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55403 and 55422. First we will calculate the prime factors of 55403 and 55422.

Prime Factorization of 55403

Prime factors of 55403 are 17, 3259. Prime factorization of 55403 in exponential form is:

55403 = 171 × 32591

Prime Factorization of 55422

Prime factors of 55422 are 2, 3, 3079. Prime factorization of 55422 in exponential form is:

55422 = 21 × 32 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 55403 and 55422.

LCM(55403,55422) = 171 × 32591 × 21 × 32 × 30791
LCM(55403,55422) = 3070545066