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What is the Least Common Multiple of 65934 and 65954?

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 65934 and 65954 is 2174305518.

LCM(65934,65954) = 2174305518

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Least Common Multiple of 65934 and 65954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65934 and 65954, than apply into the LCM equation.

GCF(65934,65954) = 2
LCM(65934,65954) = ( 65934 × 65954) / 2
LCM(65934,65954) = 4348611036 / 2
LCM(65934,65954) = 2174305518

Least Common Multiple (LCM) of 65934 and 65954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65934 and 65954. First we will calculate the prime factors of 65934 and 65954.

Prime Factorization of 65934

Prime factors of 65934 are 2, 3, 11, 37. Prime factorization of 65934 in exponential form is:

65934 = 21 × 34 × 111 × 371

Prime Factorization of 65954

Prime factors of 65954 are 2, 7, 673. Prime factorization of 65954 in exponential form is:

65954 = 21 × 72 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 65934 and 65954.

LCM(65934,65954) = 21 × 34 × 111 × 371 × 72 × 6731
LCM(65934,65954) = 2174305518