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What is the Least Common Multiple of 65858 and 65875?

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 65858 and 65875 is 255199750.

LCM(65858,65875) = 255199750

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Least Common Multiple of 65858 and 65875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65858 and 65875, than apply into the LCM equation.

GCF(65858,65875) = 17
LCM(65858,65875) = ( 65858 × 65875) / 17
LCM(65858,65875) = 4338395750 / 17
LCM(65858,65875) = 255199750

Least Common Multiple (LCM) of 65858 and 65875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65858 and 65875. First we will calculate the prime factors of 65858 and 65875.

Prime Factorization of 65858

Prime factors of 65858 are 2, 13, 17, 149. Prime factorization of 65858 in exponential form is:

65858 = 21 × 131 × 171 × 1491

Prime Factorization of 65875

Prime factors of 65875 are 5, 17, 31. Prime factorization of 65875 in exponential form is:

65875 = 53 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 65858 and 65875.

LCM(65858,65875) = 21 × 131 × 171 × 1491 × 53 × 311
LCM(65858,65875) = 255199750