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What is the Least Common Multiple of 96611 and 96622?

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 96611 and 96622 is 9334748042.

LCM(96611,96622) = 9334748042

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Least Common Multiple of 96611 and 96622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96611 and 96622, than apply into the LCM equation.

GCF(96611,96622) = 1
LCM(96611,96622) = ( 96611 × 96622) / 1
LCM(96611,96622) = 9334748042 / 1
LCM(96611,96622) = 9334748042

Least Common Multiple (LCM) of 96611 and 96622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96611 and 96622. First we will calculate the prime factors of 96611 and 96622.

Prime Factorization of 96611

Prime factors of 96611 are 17, 5683. Prime factorization of 96611 in exponential form is:

96611 = 171 × 56831

Prime Factorization of 96622

Prime factors of 96622 are 2, 48311. Prime factorization of 96622 in exponential form is:

96622 = 21 × 483111

Now multiplying the highest exponent prime factors to calculate the LCM of 96611 and 96622.

LCM(96611,96622) = 171 × 56831 × 21 × 483111
LCM(96611,96622) = 9334748042