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What is the Least Common Multiple of 9725 and 9737?

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 9725 and 9737 is 94692325.

LCM(9725,9737) = 94692325

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Least Common Multiple of 9725 and 9737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9725 and 9737, than apply into the LCM equation.

GCF(9725,9737) = 1
LCM(9725,9737) = ( 9725 × 9737) / 1
LCM(9725,9737) = 94692325 / 1
LCM(9725,9737) = 94692325

Least Common Multiple (LCM) of 9725 and 9737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9725 and 9737. First we will calculate the prime factors of 9725 and 9737.

Prime Factorization of 9725

Prime factors of 9725 are 5, 389. Prime factorization of 9725 in exponential form is:

9725 = 52 × 3891

Prime Factorization of 9737

Prime factors of 9737 are 7, 13, 107. Prime factorization of 9737 in exponential form is:

9737 = 71 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 9725 and 9737.

LCM(9725,9737) = 52 × 3891 × 71 × 131 × 1071
LCM(9725,9737) = 94692325