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What is the Least Common Multiple of 18614 and 18633?

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 18633 is 346834662.

LCM(18614,18633) = 346834662

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Least Common Multiple of 18614 and 18633 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 18633, than apply into the LCM equation.

GCF(18614,18633) = 1
LCM(18614,18633) = ( 18614 × 18633) / 1
LCM(18614,18633) = 346834662 / 1
LCM(18614,18633) = 346834662

Least Common Multiple (LCM) of 18614 and 18633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18614 and 18633. First we will calculate the prime factors of 18614 and 18633.

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 18633

Prime factors of 18633 are 3, 6211. Prime factorization of 18633 in exponential form is:

18633 = 31 × 62111

Now multiplying the highest exponent prime factors to calculate the LCM of 18614 and 18633.

LCM(18614,18633) = 21 × 411 × 2271 × 31 × 62111
LCM(18614,18633) = 346834662