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What is the Least Common Multiple of 18614 and 18624?

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 18614 and 18624 is 173333568.

LCM(18614,18624) = 173333568

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Least Common Multiple of 18614 and 18624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18614 and 18624, than apply into the LCM equation.

GCF(18614,18624) = 2
LCM(18614,18624) = ( 18614 × 18624) / 2
LCM(18614,18624) = 346667136 / 2
LCM(18614,18624) = 173333568

Least Common Multiple (LCM) of 18614 and 18624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18614 and 18624. First we will calculate the prime factors of 18614 and 18624.

Prime Factorization of 18614

Prime factors of 18614 are 2, 41, 227. Prime factorization of 18614 in exponential form is:

18614 = 21 × 411 × 2271

Prime Factorization of 18624

Prime factors of 18624 are 2, 3, 97. Prime factorization of 18624 in exponential form is:

18624 = 26 × 31 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 18614 and 18624.

LCM(18614,18624) = 26 × 411 × 2271 × 31 × 971
LCM(18614,18624) = 173333568