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What is the Least Common Multiple of 18734 and 18749?

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 18734 and 18749 is 351243766.

LCM(18734,18749) = 351243766

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Least Common Multiple of 18734 and 18749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18734 and 18749, than apply into the LCM equation.

GCF(18734,18749) = 1
LCM(18734,18749) = ( 18734 × 18749) / 1
LCM(18734,18749) = 351243766 / 1
LCM(18734,18749) = 351243766

Least Common Multiple (LCM) of 18734 and 18749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18734 and 18749. First we will calculate the prime factors of 18734 and 18749.

Prime Factorization of 18734

Prime factors of 18734 are 2, 17, 19, 29. Prime factorization of 18734 in exponential form is:

18734 = 21 × 171 × 191 × 291

Prime Factorization of 18749

Prime factors of 18749 are 18749. Prime factorization of 18749 in exponential form is:

18749 = 187491

Now multiplying the highest exponent prime factors to calculate the LCM of 18734 and 18749.

LCM(18734,18749) = 21 × 171 × 191 × 291 × 187491
LCM(18734,18749) = 351243766