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What is the Least Common Multiple of 23608 and 23620?

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 23608 and 23620 is 139405240.

LCM(23608,23620) = 139405240

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Least Common Multiple of 23608 and 23620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23608 and 23620, than apply into the LCM equation.

GCF(23608,23620) = 4
LCM(23608,23620) = ( 23608 × 23620) / 4
LCM(23608,23620) = 557620960 / 4
LCM(23608,23620) = 139405240

Least Common Multiple (LCM) of 23608 and 23620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23608 and 23620. First we will calculate the prime factors of 23608 and 23620.

Prime Factorization of 23608

Prime factors of 23608 are 2, 13, 227. Prime factorization of 23608 in exponential form is:

23608 = 23 × 131 × 2271

Prime Factorization of 23620

Prime factors of 23620 are 2, 5, 1181. Prime factorization of 23620 in exponential form is:

23620 = 22 × 51 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 23608 and 23620.

LCM(23608,23620) = 23 × 131 × 2271 × 51 × 11811
LCM(23608,23620) = 139405240