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What is the Least Common Multiple of 9508 and 9523?

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 9508 and 9523 is 90544684.

LCM(9508,9523) = 90544684

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Least Common Multiple of 9508 and 9523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9508 and 9523, than apply into the LCM equation.

GCF(9508,9523) = 1
LCM(9508,9523) = ( 9508 × 9523) / 1
LCM(9508,9523) = 90544684 / 1
LCM(9508,9523) = 90544684

Least Common Multiple (LCM) of 9508 and 9523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9508 and 9523. First we will calculate the prime factors of 9508 and 9523.

Prime Factorization of 9508

Prime factors of 9508 are 2, 2377. Prime factorization of 9508 in exponential form is:

9508 = 22 × 23771

Prime Factorization of 9523

Prime factors of 9523 are 89, 107. Prime factorization of 9523 in exponential form is:

9523 = 891 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9508 and 9523.

LCM(9508,9523) = 22 × 23771 × 891 × 1071
LCM(9508,9523) = 90544684