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What is the Least Common Multiple of 55434 and 55451?

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 55434 and 55451 is 3073870734.

LCM(55434,55451) = 3073870734

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Least Common Multiple of 55434 and 55451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55434 and 55451, than apply into the LCM equation.

GCF(55434,55451) = 1
LCM(55434,55451) = ( 55434 × 55451) / 1
LCM(55434,55451) = 3073870734 / 1
LCM(55434,55451) = 3073870734

Least Common Multiple (LCM) of 55434 and 55451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55434 and 55451. First we will calculate the prime factors of 55434 and 55451.

Prime Factorization of 55434

Prime factors of 55434 are 2, 3, 9239. Prime factorization of 55434 in exponential form is:

55434 = 21 × 31 × 92391

Prime Factorization of 55451

Prime factors of 55451 are 11, 71. Prime factorization of 55451 in exponential form is:

55451 = 111 × 712

Now multiplying the highest exponent prime factors to calculate the LCM of 55434 and 55451.

LCM(55434,55451) = 21 × 31 × 92391 × 111 × 712
LCM(55434,55451) = 3073870734