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What is the Least Common Multiple of 55536 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 55536 and 55554 is 514207824.

LCM(55536,55554) = 514207824

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Least Common Multiple of 55536 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 55536 and 55554, than apply into the LCM equation.

GCF(55536,55554) = 6
LCM(55536,55554) = ( 55536 × 55554) / 6
LCM(55536,55554) = 3085246944 / 6
LCM(55536,55554) = 514207824

Least Common Multiple (LCM) of 55536 and 55554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55536 and 55554. First we will calculate the prime factors of 55536 and 55554.

Prime Factorization of 55536

Prime factors of 55536 are 2, 3, 13, 89. Prime factorization of 55536 in exponential form is:

55536 = 24 × 31 × 131 × 891

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 55536 and 55554.

LCM(55536,55554) = 24 × 31 × 131 × 891 × 471 × 1971
LCM(55536,55554) = 514207824