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What is the Least Common Multiple of 41622 and 41626?

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 41622 and 41626 is 866278686.

LCM(41622,41626) = 866278686

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Least Common Multiple of 41622 and 41626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41622 and 41626, than apply into the LCM equation.

GCF(41622,41626) = 2
LCM(41622,41626) = ( 41622 × 41626) / 2
LCM(41622,41626) = 1732557372 / 2
LCM(41622,41626) = 866278686

Least Common Multiple (LCM) of 41622 and 41626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41622 and 41626. First we will calculate the prime factors of 41622 and 41626.

Prime Factorization of 41622

Prime factors of 41622 are 2, 3, 7, 991. Prime factorization of 41622 in exponential form is:

41622 = 21 × 31 × 71 × 9911

Prime Factorization of 41626

Prime factors of 41626 are 2, 13, 1601. Prime factorization of 41626 in exponential form is:

41626 = 21 × 131 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 41622 and 41626.

LCM(41622,41626) = 21 × 31 × 71 × 9911 × 131 × 16011
LCM(41622,41626) = 866278686