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What is the Least Common Multiple of 65845 and 65850?

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 65845 and 65850 is 867178650.

LCM(65845,65850) = 867178650

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Least Common Multiple of 65845 and 65850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65845 and 65850, than apply into the LCM equation.

GCF(65845,65850) = 5
LCM(65845,65850) = ( 65845 × 65850) / 5
LCM(65845,65850) = 4335893250 / 5
LCM(65845,65850) = 867178650

Least Common Multiple (LCM) of 65845 and 65850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65845 and 65850. First we will calculate the prime factors of 65845 and 65850.

Prime Factorization of 65845

Prime factors of 65845 are 5, 13, 1013. Prime factorization of 65845 in exponential form is:

65845 = 51 × 131 × 10131

Prime Factorization of 65850

Prime factors of 65850 are 2, 3, 5, 439. Prime factorization of 65850 in exponential form is:

65850 = 21 × 31 × 52 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 65845 and 65850.

LCM(65845,65850) = 52 × 131 × 10131 × 21 × 31 × 4391
LCM(65845,65850) = 867178650