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What is the Least Common Multiple of 65628 and 65645?

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 65628 and 65645 is 4308150060.

LCM(65628,65645) = 4308150060

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Least Common Multiple of 65628 and 65645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65628 and 65645, than apply into the LCM equation.

GCF(65628,65645) = 1
LCM(65628,65645) = ( 65628 × 65645) / 1
LCM(65628,65645) = 4308150060 / 1
LCM(65628,65645) = 4308150060

Least Common Multiple (LCM) of 65628 and 65645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65628 and 65645. First we will calculate the prime factors of 65628 and 65645.

Prime Factorization of 65628

Prime factors of 65628 are 2, 3, 1823. Prime factorization of 65628 in exponential form is:

65628 = 22 × 32 × 18231

Prime Factorization of 65645

Prime factors of 65645 are 5, 19, 691. Prime factorization of 65645 in exponential form is:

65645 = 51 × 191 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 65628 and 65645.

LCM(65628,65645) = 22 × 32 × 18231 × 51 × 191 × 6911
LCM(65628,65645) = 4308150060