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What is the Least Common Multiple of 9722 and 9726?

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 9722 and 9726 is 47278086.

LCM(9722,9726) = 47278086

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Least Common Multiple of 9722 and 9726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9722 and 9726, than apply into the LCM equation.

GCF(9722,9726) = 2
LCM(9722,9726) = ( 9722 × 9726) / 2
LCM(9722,9726) = 94556172 / 2
LCM(9722,9726) = 47278086

Least Common Multiple (LCM) of 9722 and 9726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9722 and 9726. First we will calculate the prime factors of 9722 and 9726.

Prime Factorization of 9722

Prime factors of 9722 are 2, 4861. Prime factorization of 9722 in exponential form is:

9722 = 21 × 48611

Prime Factorization of 9726

Prime factors of 9726 are 2, 3, 1621. Prime factorization of 9726 in exponential form is:

9726 = 21 × 31 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 9722 and 9726.

LCM(9722,9726) = 21 × 48611 × 31 × 16211
LCM(9722,9726) = 47278086