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What is the Least Common Multiple of 65635 and 65642?

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 65635 and 65642 is 4308412670.

LCM(65635,65642) = 4308412670

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Least Common Multiple of 65635 and 65642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65635 and 65642, than apply into the LCM equation.

GCF(65635,65642) = 1
LCM(65635,65642) = ( 65635 × 65642) / 1
LCM(65635,65642) = 4308412670 / 1
LCM(65635,65642) = 4308412670

Least Common Multiple (LCM) of 65635 and 65642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65635 and 65642. First we will calculate the prime factors of 65635 and 65642.

Prime Factorization of 65635

Prime factors of 65635 are 5, 13127. Prime factorization of 65635 in exponential form is:

65635 = 51 × 131271

Prime Factorization of 65642

Prime factors of 65642 are 2, 23, 1427. Prime factorization of 65642 in exponential form is:

65642 = 21 × 231 × 14271

Now multiplying the highest exponent prime factors to calculate the LCM of 65635 and 65642.

LCM(65635,65642) = 51 × 131271 × 21 × 231 × 14271
LCM(65635,65642) = 4308412670