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What is the Least Common Multiple of 10218 and 10238?

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 10218 and 10238 is 52305942.

LCM(10218,10238) = 52305942

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Least Common Multiple of 10218 and 10238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10218 and 10238, than apply into the LCM equation.

GCF(10218,10238) = 2
LCM(10218,10238) = ( 10218 × 10238) / 2
LCM(10218,10238) = 104611884 / 2
LCM(10218,10238) = 52305942

Least Common Multiple (LCM) of 10218 and 10238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10218 and 10238. First we will calculate the prime factors of 10218 and 10238.

Prime Factorization of 10218

Prime factors of 10218 are 2, 3, 13, 131. Prime factorization of 10218 in exponential form is:

10218 = 21 × 31 × 131 × 1311

Prime Factorization of 10238

Prime factors of 10238 are 2, 5119. Prime factorization of 10238 in exponential form is:

10238 = 21 × 51191

Now multiplying the highest exponent prime factors to calculate the LCM of 10218 and 10238.

LCM(10218,10238) = 21 × 31 × 131 × 1311 × 51191
LCM(10218,10238) = 52305942