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What is the Least Common Multiple of 11622 and 11626?

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 11622 and 11626 is 67558686.

LCM(11622,11626) = 67558686

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Least Common Multiple of 11622 and 11626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11622 and 11626, than apply into the LCM equation.

GCF(11622,11626) = 2
LCM(11622,11626) = ( 11622 × 11626) / 2
LCM(11622,11626) = 135117372 / 2
LCM(11622,11626) = 67558686

Least Common Multiple (LCM) of 11622 and 11626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11622 and 11626. First we will calculate the prime factors of 11622 and 11626.

Prime Factorization of 11622

Prime factors of 11622 are 2, 3, 13, 149. Prime factorization of 11622 in exponential form is:

11622 = 21 × 31 × 131 × 1491

Prime Factorization of 11626

Prime factors of 11626 are 2, 5813. Prime factorization of 11626 in exponential form is:

11626 = 21 × 58131

Now multiplying the highest exponent prime factors to calculate the LCM of 11622 and 11626.

LCM(11622,11626) = 21 × 31 × 131 × 1491 × 58131
LCM(11622,11626) = 67558686