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What is the Least Common Multiple of 54986 and 55000?

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 54986 and 55000 is 1512115000.

LCM(54986,55000) = 1512115000

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Least Common Multiple of 54986 and 55000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54986 and 55000, than apply into the LCM equation.

GCF(54986,55000) = 2
LCM(54986,55000) = ( 54986 × 55000) / 2
LCM(54986,55000) = 3024230000 / 2
LCM(54986,55000) = 1512115000

Least Common Multiple (LCM) of 54986 and 55000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54986 and 55000. First we will calculate the prime factors of 54986 and 55000.

Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 21 × 191 × 14471

Prime Factorization of 55000

Prime factors of 55000 are 2, 5, 11. Prime factorization of 55000 in exponential form is:

55000 = 23 × 54 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 54986 and 55000.

LCM(54986,55000) = 23 × 191 × 14471 × 54 × 111
LCM(54986,55000) = 1512115000