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What is the Least Common Multiple of 55412 and 55430?

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 55412 and 55430 is 1535743580.

LCM(55412,55430) = 1535743580

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Least Common Multiple of 55412 and 55430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55412 and 55430, than apply into the LCM equation.

GCF(55412,55430) = 2
LCM(55412,55430) = ( 55412 × 55430) / 2
LCM(55412,55430) = 3071487160 / 2
LCM(55412,55430) = 1535743580

Least Common Multiple (LCM) of 55412 and 55430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55412 and 55430. First we will calculate the prime factors of 55412 and 55430.

Prime Factorization of 55412

Prime factors of 55412 are 2, 7, 1979. Prime factorization of 55412 in exponential form is:

55412 = 22 × 71 × 19791

Prime Factorization of 55430

Prime factors of 55430 are 2, 5, 23, 241. Prime factorization of 55430 in exponential form is:

55430 = 21 × 51 × 231 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 55412 and 55430.

LCM(55412,55430) = 22 × 71 × 19791 × 51 × 231 × 2411
LCM(55412,55430) = 1535743580