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What is the Least Common Multiple of 55832 and 55850?

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 55832 and 55850 is 1559108600.

LCM(55832,55850) = 1559108600

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Least Common Multiple of 55832 and 55850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55832 and 55850, than apply into the LCM equation.

GCF(55832,55850) = 2
LCM(55832,55850) = ( 55832 × 55850) / 2
LCM(55832,55850) = 3118217200 / 2
LCM(55832,55850) = 1559108600

Least Common Multiple (LCM) of 55832 and 55850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55832 and 55850. First we will calculate the prime factors of 55832 and 55850.

Prime Factorization of 55832

Prime factors of 55832 are 2, 7, 997. Prime factorization of 55832 in exponential form is:

55832 = 23 × 71 × 9971

Prime Factorization of 55850

Prime factors of 55850 are 2, 5, 1117. Prime factorization of 55850 in exponential form is:

55850 = 21 × 52 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 55832 and 55850.

LCM(55832,55850) = 23 × 71 × 9971 × 52 × 11171
LCM(55832,55850) = 1559108600