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What is the Least Common Multiple of 54412 and 54429?

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 54412 and 54429 is 2961590748.

LCM(54412,54429) = 2961590748

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Least Common Multiple of 54412 and 54429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54412 and 54429, than apply into the LCM equation.

GCF(54412,54429) = 1
LCM(54412,54429) = ( 54412 × 54429) / 1
LCM(54412,54429) = 2961590748 / 1
LCM(54412,54429) = 2961590748

Least Common Multiple (LCM) of 54412 and 54429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54412 and 54429. First we will calculate the prime factors of 54412 and 54429.

Prime Factorization of 54412

Prime factors of 54412 are 2, 61, 223. Prime factorization of 54412 in exponential form is:

54412 = 22 × 611 × 2231

Prime Factorization of 54429

Prime factors of 54429 are 3, 18143. Prime factorization of 54429 in exponential form is:

54429 = 31 × 181431

Now multiplying the highest exponent prime factors to calculate the LCM of 54412 and 54429.

LCM(54412,54429) = 22 × 611 × 2231 × 31 × 181431
LCM(54412,54429) = 2961590748