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What is the Least Common Multiple of 18758 and 18774?

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 18758 and 18774 is 176081346.

LCM(18758,18774) = 176081346

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Least Common Multiple of 18758 and 18774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18758 and 18774, than apply into the LCM equation.

GCF(18758,18774) = 2
LCM(18758,18774) = ( 18758 × 18774) / 2
LCM(18758,18774) = 352162692 / 2
LCM(18758,18774) = 176081346

Least Common Multiple (LCM) of 18758 and 18774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18758 and 18774. First we will calculate the prime factors of 18758 and 18774.

Prime Factorization of 18758

Prime factors of 18758 are 2, 83, 113. Prime factorization of 18758 in exponential form is:

18758 = 21 × 831 × 1131

Prime Factorization of 18774

Prime factors of 18774 are 2, 3, 7, 149. Prime factorization of 18774 in exponential form is:

18774 = 21 × 32 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 18758 and 18774.

LCM(18758,18774) = 21 × 831 × 1131 × 32 × 71 × 1491
LCM(18758,18774) = 176081346