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What is the Least Common Multiple of 65836 and 65847?

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 65836 and 65847 is 4335103092.

LCM(65836,65847) = 4335103092

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Least Common Multiple of 65836 and 65847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65836 and 65847, than apply into the LCM equation.

GCF(65836,65847) = 1
LCM(65836,65847) = ( 65836 × 65847) / 1
LCM(65836,65847) = 4335103092 / 1
LCM(65836,65847) = 4335103092

Least Common Multiple (LCM) of 65836 and 65847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65836 and 65847. First we will calculate the prime factors of 65836 and 65847.

Prime Factorization of 65836

Prime factors of 65836 are 2, 109, 151. Prime factorization of 65836 in exponential form is:

65836 = 22 × 1091 × 1511

Prime Factorization of 65847

Prime factors of 65847 are 3, 47, 467. Prime factorization of 65847 in exponential form is:

65847 = 31 × 471 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 65836 and 65847.

LCM(65836,65847) = 22 × 1091 × 1511 × 31 × 471 × 4671
LCM(65836,65847) = 4335103092