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What is the Least Common Multiple of 9122 and 9136?

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 9122 and 9136 is 41669296.

LCM(9122,9136) = 41669296

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Least Common Multiple of 9122 and 9136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9122 and 9136, than apply into the LCM equation.

GCF(9122,9136) = 2
LCM(9122,9136) = ( 9122 × 9136) / 2
LCM(9122,9136) = 83338592 / 2
LCM(9122,9136) = 41669296

Least Common Multiple (LCM) of 9122 and 9136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9122 and 9136. First we will calculate the prime factors of 9122 and 9136.

Prime Factorization of 9122

Prime factors of 9122 are 2, 4561. Prime factorization of 9122 in exponential form is:

9122 = 21 × 45611

Prime Factorization of 9136

Prime factors of 9136 are 2, 571. Prime factorization of 9136 in exponential form is:

9136 = 24 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 9122 and 9136.

LCM(9122,9136) = 24 × 45611 × 5711
LCM(9122,9136) = 41669296