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What is the Least Common Multiple of 23590 and 23602?

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 23590 and 23602 is 278385590.

LCM(23590,23602) = 278385590

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Least Common Multiple of 23590 and 23602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23590 and 23602, than apply into the LCM equation.

GCF(23590,23602) = 2
LCM(23590,23602) = ( 23590 × 23602) / 2
LCM(23590,23602) = 556771180 / 2
LCM(23590,23602) = 278385590

Least Common Multiple (LCM) of 23590 and 23602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23590 and 23602. First we will calculate the prime factors of 23590 and 23602.

Prime Factorization of 23590

Prime factors of 23590 are 2, 5, 7, 337. Prime factorization of 23590 in exponential form is:

23590 = 21 × 51 × 71 × 3371

Prime Factorization of 23602

Prime factors of 23602 are 2, 11801. Prime factorization of 23602 in exponential form is:

23602 = 21 × 118011

Now multiplying the highest exponent prime factors to calculate the LCM of 23590 and 23602.

LCM(23590,23602) = 21 × 51 × 71 × 3371 × 118011
LCM(23590,23602) = 278385590