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What is the Least Common Multiple of 65934 and 65944?

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 65944 is 2173975848.

LCM(65934,65944) = 2173975848

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Least Common Multiple of 65934 and 65944 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 65944, than apply into the LCM equation.

GCF(65934,65944) = 2
LCM(65934,65944) = ( 65934 × 65944) / 2
LCM(65934,65944) = 4347951696 / 2
LCM(65934,65944) = 2173975848

Least Common Multiple (LCM) of 65934 and 65944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65934 and 65944. First we will calculate the prime factors of 65934 and 65944.

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 65944

Prime factors of 65944 are 2, 8243. Prime factorization of 65944 in exponential form is:

65944 = 23 × 82431

Now multiplying the highest exponent prime factors to calculate the LCM of 65934 and 65944.

LCM(65934,65944) = 23 × 34 × 111 × 371 × 82431
LCM(65934,65944) = 2173975848