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What is the Least Common Multiple of 27622 and 27631?

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 27622 and 27631 is 763223482.

LCM(27622,27631) = 763223482

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Least Common Multiple of 27622 and 27631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27622 and 27631, than apply into the LCM equation.

GCF(27622,27631) = 1
LCM(27622,27631) = ( 27622 × 27631) / 1
LCM(27622,27631) = 763223482 / 1
LCM(27622,27631) = 763223482

Least Common Multiple (LCM) of 27622 and 27631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27622 and 27631. First we will calculate the prime factors of 27622 and 27631.

Prime Factorization of 27622

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

27622 = 21 × 71 × 19731

Prime Factorization of 27631

Prime factors of 27631 are 27631. Prime factorization of 27631 in exponential form is:

27631 = 276311

Now multiplying the highest exponent prime factors to calculate the LCM of 27622 and 27631.

LCM(27622,27631) = 21 × 71 × 19731 × 276311
LCM(27622,27631) = 763223482