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What is the Least Common Multiple of 55538 and 55554?

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 55538 and 55554 is 1542679026.

LCM(55538,55554) = 1542679026

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Least Common Multiple of 55538 and 55554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55538 and 55554, than apply into the LCM equation.

GCF(55538,55554) = 2
LCM(55538,55554) = ( 55538 × 55554) / 2
LCM(55538,55554) = 3085358052 / 2
LCM(55538,55554) = 1542679026

Least Common Multiple (LCM) of 55538 and 55554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55538 and 55554. First we will calculate the prime factors of 55538 and 55554.

Prime Factorization of 55538

Prime factors of 55538 are 2, 7, 3967. Prime factorization of 55538 in exponential form is:

55538 = 21 × 71 × 39671

Prime Factorization of 55554

Prime factors of 55554 are 2, 3, 47, 197. Prime factorization of 55554 in exponential form is:

55554 = 21 × 31 × 471 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 55538 and 55554.

LCM(55538,55554) = 21 × 71 × 39671 × 31 × 471 × 1971
LCM(55538,55554) = 1542679026