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What is the Least Common Multiple of 65864 and 65878?

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 65878 is 2169494296.

LCM(65864,65878) = 2169494296

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Least Common Multiple of 65864 and 65878 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 65878, than apply into the LCM equation.

GCF(65864,65878) = 2
LCM(65864,65878) = ( 65864 × 65878) / 2
LCM(65864,65878) = 4338988592 / 2
LCM(65864,65878) = 2169494296

Least Common Multiple (LCM) of 65864 and 65878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65864 and 65878. First we will calculate the prime factors of 65864 and 65878.

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 65878

Prime factors of 65878 are 2, 32939. Prime factorization of 65878 in exponential form is:

65878 = 21 × 329391

Now multiplying the highest exponent prime factors to calculate the LCM of 65864 and 65878.

LCM(65864,65878) = 23 × 82331 × 329391
LCM(65864,65878) = 2169494296