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What is the Least Common Multiple of 84622 and 84626?

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 84622 and 84626 is 3580610686.

LCM(84622,84626) = 3580610686

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Least Common Multiple of 84622 and 84626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84622 and 84626, than apply into the LCM equation.

GCF(84622,84626) = 2
LCM(84622,84626) = ( 84622 × 84626) / 2
LCM(84622,84626) = 7161221372 / 2
LCM(84622,84626) = 3580610686

Least Common Multiple (LCM) of 84622 and 84626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84622 and 84626. First we will calculate the prime factors of 84622 and 84626.

Prime Factorization of 84622

Prime factors of 84622 are 2, 29, 1459. Prime factorization of 84622 in exponential form is:

84622 = 21 × 291 × 14591

Prime Factorization of 84626

Prime factors of 84626 are 2, 17, 19, 131. Prime factorization of 84626 in exponential form is:

84626 = 21 × 171 × 191 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 84622 and 84626.

LCM(84622,84626) = 21 × 291 × 14591 × 171 × 191 × 1311
LCM(84622,84626) = 3580610686