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What is the Least Common Multiple of 55558 and 55564?

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 55558 and 55564 is 1543512356.

LCM(55558,55564) = 1543512356

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Least Common Multiple of 55558 and 55564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55558 and 55564, than apply into the LCM equation.

GCF(55558,55564) = 2
LCM(55558,55564) = ( 55558 × 55564) / 2
LCM(55558,55564) = 3087024712 / 2
LCM(55558,55564) = 1543512356

Least Common Multiple (LCM) of 55558 and 55564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55558 and 55564. First we will calculate the prime factors of 55558 and 55564.

Prime Factorization of 55558

Prime factors of 55558 are 2, 27779. Prime factorization of 55558 in exponential form is:

55558 = 21 × 277791

Prime Factorization of 55564

Prime factors of 55564 are 2, 29, 479. Prime factorization of 55564 in exponential form is:

55564 = 22 × 291 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 55558 and 55564.

LCM(55558,55564) = 22 × 277791 × 291 × 4791
LCM(55558,55564) = 1543512356