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What is the Least Common Multiple of 55990 and 56005?

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 55990 and 56005 is 627143990.

LCM(55990,56005) = 627143990

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Least Common Multiple of 55990 and 56005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55990 and 56005, than apply into the LCM equation.

GCF(55990,56005) = 5
LCM(55990,56005) = ( 55990 × 56005) / 5
LCM(55990,56005) = 3135719950 / 5
LCM(55990,56005) = 627143990

Least Common Multiple (LCM) of 55990 and 56005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55990 and 56005. First we will calculate the prime factors of 55990 and 56005.

Prime Factorization of 55990

Prime factors of 55990 are 2, 5, 11, 509. Prime factorization of 55990 in exponential form is:

55990 = 21 × 51 × 111 × 5091

Prime Factorization of 56005

Prime factors of 56005 are 5, 23, 487. Prime factorization of 56005 in exponential form is:

56005 = 51 × 231 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 55990 and 56005.

LCM(55990,56005) = 21 × 51 × 111 × 5091 × 231 × 4871
LCM(55990,56005) = 627143990