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What is the Least Common Multiple of 18629 and 18649?

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 18629 and 18649 is 347412221.

LCM(18629,18649) = 347412221

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Least Common Multiple of 18629 and 18649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18629 and 18649, than apply into the LCM equation.

GCF(18629,18649) = 1
LCM(18629,18649) = ( 18629 × 18649) / 1
LCM(18629,18649) = 347412221 / 1
LCM(18629,18649) = 347412221

Least Common Multiple (LCM) of 18629 and 18649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18629 and 18649. First we will calculate the prime factors of 18629 and 18649.

Prime Factorization of 18629

Prime factors of 18629 are 13, 1433. Prime factorization of 18629 in exponential form is:

18629 = 131 × 14331

Prime Factorization of 18649

Prime factors of 18649 are 17, 1097. Prime factorization of 18649 in exponential form is:

18649 = 171 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 18629 and 18649.

LCM(18629,18649) = 131 × 14331 × 171 × 10971
LCM(18629,18649) = 347412221