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What is the Least Common Multiple of 65394 and 65407?

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 65394 and 65407 is 4277225358.

LCM(65394,65407) = 4277225358

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Least Common Multiple of 65394 and 65407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65394 and 65407, than apply into the LCM equation.

GCF(65394,65407) = 1
LCM(65394,65407) = ( 65394 × 65407) / 1
LCM(65394,65407) = 4277225358 / 1
LCM(65394,65407) = 4277225358

Least Common Multiple (LCM) of 65394 and 65407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65394 and 65407. First we will calculate the prime factors of 65394 and 65407.

Prime Factorization of 65394

Prime factors of 65394 are 2, 3, 7, 173. Prime factorization of 65394 in exponential form is:

65394 = 21 × 33 × 71 × 1731

Prime Factorization of 65407

Prime factors of 65407 are 65407. Prime factorization of 65407 in exponential form is:

65407 = 654071

Now multiplying the highest exponent prime factors to calculate the LCM of 65394 and 65407.

LCM(65394,65407) = 21 × 33 × 71 × 1731 × 654071
LCM(65394,65407) = 4277225358