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What is the Least Common Multiple of 18234 and 18239?

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 18234 and 18239 is 332569926.

LCM(18234,18239) = 332569926

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Least Common Multiple of 18234 and 18239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18234 and 18239, than apply into the LCM equation.

GCF(18234,18239) = 1
LCM(18234,18239) = ( 18234 × 18239) / 1
LCM(18234,18239) = 332569926 / 1
LCM(18234,18239) = 332569926

Least Common Multiple (LCM) of 18234 and 18239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18234 and 18239. First we will calculate the prime factors of 18234 and 18239.

Prime Factorization of 18234

Prime factors of 18234 are 2, 3, 1013. Prime factorization of 18234 in exponential form is:

18234 = 21 × 32 × 10131

Prime Factorization of 18239

Prime factors of 18239 are 13, 23, 61. Prime factorization of 18239 in exponential form is:

18239 = 131 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 18234 and 18239.

LCM(18234,18239) = 21 × 32 × 10131 × 131 × 231 × 611
LCM(18234,18239) = 332569926