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What is the Least Common Multiple of 65591 and 65605?

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 65591 and 65605 is 4303097555.

LCM(65591,65605) = 4303097555

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Least Common Multiple of 65591 and 65605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65591 and 65605, than apply into the LCM equation.

GCF(65591,65605) = 1
LCM(65591,65605) = ( 65591 × 65605) / 1
LCM(65591,65605) = 4303097555 / 1
LCM(65591,65605) = 4303097555

Least Common Multiple (LCM) of 65591 and 65605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65591 and 65605. First we will calculate the prime factors of 65591 and 65605.

Prime Factorization of 65591

Prime factors of 65591 are 107, 613. Prime factorization of 65591 in exponential form is:

65591 = 1071 × 6131

Prime Factorization of 65605

Prime factors of 65605 are 5, 13121. Prime factorization of 65605 in exponential form is:

65605 = 51 × 131211

Now multiplying the highest exponent prime factors to calculate the LCM of 65591 and 65605.

LCM(65591,65605) = 1071 × 6131 × 51 × 131211
LCM(65591,65605) = 4303097555