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What is the Least Common Multiple of 45578 and 45582?

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 45578 and 45582 is 1038768198.

LCM(45578,45582) = 1038768198

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Least Common Multiple of 45578 and 45582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45578 and 45582, than apply into the LCM equation.

GCF(45578,45582) = 2
LCM(45578,45582) = ( 45578 × 45582) / 2
LCM(45578,45582) = 2077536396 / 2
LCM(45578,45582) = 1038768198

Least Common Multiple (LCM) of 45578 and 45582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45578 and 45582. First we will calculate the prime factors of 45578 and 45582.

Prime Factorization of 45578

Prime factors of 45578 are 2, 13, 1753. Prime factorization of 45578 in exponential form is:

45578 = 21 × 131 × 17531

Prime Factorization of 45582

Prime factors of 45582 are 2, 3, 71, 107. Prime factorization of 45582 in exponential form is:

45582 = 21 × 31 × 711 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 45578 and 45582.

LCM(45578,45582) = 21 × 131 × 17531 × 31 × 711 × 1071
LCM(45578,45582) = 1038768198