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What is the Least Common Multiple of 7622 and 7631?

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 7622 and 7631 is 58163482.

LCM(7622,7631) = 58163482

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Least Common Multiple of 7622 and 7631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7622 and 7631, than apply into the LCM equation.

GCF(7622,7631) = 1
LCM(7622,7631) = ( 7622 × 7631) / 1
LCM(7622,7631) = 58163482 / 1
LCM(7622,7631) = 58163482

Least Common Multiple (LCM) of 7622 and 7631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7622 and 7631. First we will calculate the prime factors of 7622 and 7631.

Prime Factorization of 7622

Prime factors of 7622 are 2, 37, 103. Prime factorization of 7622 in exponential form is:

7622 = 21 × 371 × 1031

Prime Factorization of 7631

Prime factors of 7631 are 13, 587. Prime factorization of 7631 in exponential form is:

7631 = 131 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 7622 and 7631.

LCM(7622,7631) = 21 × 371 × 1031 × 131 × 5871
LCM(7622,7631) = 58163482