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What is the Least Common Multiple of 18642 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 18642 and 18649 is 347654658.

LCM(18642,18649) = 347654658

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Least Common Multiple of 18642 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 18642 and 18649, than apply into the LCM equation.

GCF(18642,18649) = 1
LCM(18642,18649) = ( 18642 × 18649) / 1
LCM(18642,18649) = 347654658 / 1
LCM(18642,18649) = 347654658

Least Common Multiple (LCM) of 18642 and 18649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18642 and 18649. First we will calculate the prime factors of 18642 and 18649.

Prime Factorization of 18642

Prime factors of 18642 are 2, 3, 13, 239. Prime factorization of 18642 in exponential form is:

18642 = 21 × 31 × 131 × 2391

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 18642 and 18649.

LCM(18642,18649) = 21 × 31 × 131 × 2391 × 171 × 10971
LCM(18642,18649) = 347654658