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What is the Least Common Multiple of 9749 and 9762?

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 9749 and 9762 is 95169738.

LCM(9749,9762) = 95169738

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Least Common Multiple of 9749 and 9762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9749 and 9762, than apply into the LCM equation.

GCF(9749,9762) = 1
LCM(9749,9762) = ( 9749 × 9762) / 1
LCM(9749,9762) = 95169738 / 1
LCM(9749,9762) = 95169738

Least Common Multiple (LCM) of 9749 and 9762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9749 and 9762. First we will calculate the prime factors of 9749 and 9762.

Prime Factorization of 9749

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

Prime Factorization of 9762

Prime factors of 9762 are 2, 3, 1627. Prime factorization of 9762 in exponential form is:

9762 = 21 × 31 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 9749 and 9762.

LCM(9749,9762) = 97491 × 21 × 31 × 16271
LCM(9749,9762) = 95169738