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What is the Least Common Multiple of 4234 and 4253?

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 4234 and 4253 is 18007202.

LCM(4234,4253) = 18007202

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Least Common Multiple of 4234 and 4253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4234 and 4253, than apply into the LCM equation.

GCF(4234,4253) = 1
LCM(4234,4253) = ( 4234 × 4253) / 1
LCM(4234,4253) = 18007202 / 1
LCM(4234,4253) = 18007202

Least Common Multiple (LCM) of 4234 and 4253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4234 and 4253. First we will calculate the prime factors of 4234 and 4253.

Prime Factorization of 4234

Prime factors of 4234 are 2, 29, 73. Prime factorization of 4234 in exponential form is:

4234 = 21 × 291 × 731

Prime Factorization of 4253

Prime factors of 4253 are 4253. Prime factorization of 4253 in exponential form is:

4253 = 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 4234 and 4253.

LCM(4234,4253) = 21 × 291 × 731 × 42531
LCM(4234,4253) = 18007202