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What is the Least Common Multiple of 27606 and 27622?

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 27606 and 27622 is 381266466.

LCM(27606,27622) = 381266466

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Least Common Multiple of 27606 and 27622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27606 and 27622, than apply into the LCM equation.

GCF(27606,27622) = 2
LCM(27606,27622) = ( 27606 × 27622) / 2
LCM(27606,27622) = 762532932 / 2
LCM(27606,27622) = 381266466

Least Common Multiple (LCM) of 27606 and 27622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27606 and 27622. First we will calculate the prime factors of 27606 and 27622.

Prime Factorization of 27606

Prime factors of 27606 are 2, 3, 43, 107. Prime factorization of 27606 in exponential form is:

27606 = 21 × 31 × 431 × 1071

Prime Factorization of 27622

Prime factors of 27622 are 2, 7, 1973. Prime factorization of 27622 in exponential form is:

27622 = 21 × 71 × 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 27606 and 27622.

LCM(27606,27622) = 21 × 31 × 431 × 1071 × 71 × 19731
LCM(27606,27622) = 381266466