What is the Least Common Multiple of 9619 and 9626?
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 9619 and 9626 is 92592494.
LCM(9619,9626) = 92592494
Least Common Multiple of 9619 and 9626 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9619 and 9626, than apply into the LCM equation.
GCF(9619,9626) = 1
LCM(9619,9626) = ( 9619 × 9626) / 1
LCM(9619,9626) = 92592494 / 1
LCM(9619,9626) = 92592494
Least Common Multiple (LCM) of 9619 and 9626 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9619 and 9626. First we will calculate the prime factors of 9619 and 9626.
Prime Factorization of 9619
Prime factors of 9619 are 9619. Prime factorization of 9619 in exponential form is:
9619 = 96191
Prime Factorization of 9626
Prime factors of 9626 are 2, 4813. Prime factorization of 9626 in exponential form is:
9626 = 21 × 48131
Now multiplying the highest exponent prime factors to calculate the LCM of 9619 and 9626.
LCM(9619,9626) = 96191 × 21 × 48131
LCM(9619,9626) = 92592494
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