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What is the Least Common Multiple of 19613 and 19622?

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 19613 and 19622 is 384846286.

LCM(19613,19622) = 384846286

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Least Common Multiple of 19613 and 19622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19613 and 19622, than apply into the LCM equation.

GCF(19613,19622) = 1
LCM(19613,19622) = ( 19613 × 19622) / 1
LCM(19613,19622) = 384846286 / 1
LCM(19613,19622) = 384846286

Least Common Multiple (LCM) of 19613 and 19622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19613 and 19622. First we will calculate the prime factors of 19613 and 19622.

Prime Factorization of 19613

Prime factors of 19613 are 11, 1783. Prime factorization of 19613 in exponential form is:

19613 = 111 × 17831

Prime Factorization of 19622

Prime factors of 19622 are 2, 9811. Prime factorization of 19622 in exponential form is:

19622 = 21 × 98111

Now multiplying the highest exponent prime factors to calculate the LCM of 19613 and 19622.

LCM(19613,19622) = 111 × 17831 × 21 × 98111
LCM(19613,19622) = 384846286