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What is the Least Common Multiple of 65864 and 65882?

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 65864 and 65882 is 2169626024.

LCM(65864,65882) = 2169626024

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Least Common Multiple of 65864 and 65882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65864 and 65882, than apply into the LCM equation.

GCF(65864,65882) = 2
LCM(65864,65882) = ( 65864 × 65882) / 2
LCM(65864,65882) = 4339252048 / 2
LCM(65864,65882) = 2169626024

Least Common Multiple (LCM) of 65864 and 65882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65864 and 65882. First we will calculate the prime factors of 65864 and 65882.

Prime Factorization of 65864

Prime factors of 65864 are 2, 8233. Prime factorization of 65864 in exponential form is:

65864 = 23 × 82331

Prime Factorization of 65882

Prime factors of 65882 are 2, 32941. Prime factorization of 65882 in exponential form is:

65882 = 21 × 329411

Now multiplying the highest exponent prime factors to calculate the LCM of 65864 and 65882.

LCM(65864,65882) = 23 × 82331 × 329411
LCM(65864,65882) = 2169626024