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What is the Least Common Multiple of 55428 and 55434?

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 55428 and 55434 is 512099292.

LCM(55428,55434) = 512099292

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Least Common Multiple of 55428 and 55434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55428 and 55434, than apply into the LCM equation.

GCF(55428,55434) = 6
LCM(55428,55434) = ( 55428 × 55434) / 6
LCM(55428,55434) = 3072595752 / 6
LCM(55428,55434) = 512099292

Least Common Multiple (LCM) of 55428 and 55434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55428 and 55434. First we will calculate the prime factors of 55428 and 55434.

Prime Factorization of 55428

Prime factors of 55428 are 2, 3, 31, 149. Prime factorization of 55428 in exponential form is:

55428 = 22 × 31 × 311 × 1491

Prime Factorization of 55434

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

55434 = 21 × 31 × 92391

Now multiplying the highest exponent prime factors to calculate the LCM of 55428 and 55434.

LCM(55428,55434) = 22 × 31 × 311 × 1491 × 92391
LCM(55428,55434) = 512099292