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What is the Least Common Multiple of 65613 and 65620?

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 65613 and 65620 is 4305525060.

LCM(65613,65620) = 4305525060

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Least Common Multiple of 65613 and 65620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65613 and 65620, than apply into the LCM equation.

GCF(65613,65620) = 1
LCM(65613,65620) = ( 65613 × 65620) / 1
LCM(65613,65620) = 4305525060 / 1
LCM(65613,65620) = 4305525060

Least Common Multiple (LCM) of 65613 and 65620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65613 and 65620. First we will calculate the prime factors of 65613 and 65620.

Prime Factorization of 65613

Prime factors of 65613 are 3, 21871. Prime factorization of 65613 in exponential form is:

65613 = 31 × 218711

Prime Factorization of 65620

Prime factors of 65620 are 2, 5, 17, 193. Prime factorization of 65620 in exponential form is:

65620 = 22 × 51 × 171 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 65613 and 65620.

LCM(65613,65620) = 31 × 218711 × 22 × 51 × 171 × 1931
LCM(65613,65620) = 4305525060