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What is the Least Common Multiple of 97669 and 97673?

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 97669 and 97673 is 9539624237.

LCM(97669,97673) = 9539624237

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Least Common Multiple of 97669 and 97673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97669 and 97673, than apply into the LCM equation.

GCF(97669,97673) = 1
LCM(97669,97673) = ( 97669 × 97673) / 1
LCM(97669,97673) = 9539624237 / 1
LCM(97669,97673) = 9539624237

Least Common Multiple (LCM) of 97669 and 97673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97669 and 97673. First we will calculate the prime factors of 97669 and 97673.

Prime Factorization of 97669

Prime factors of 97669 are 11, 13, 683. Prime factorization of 97669 in exponential form is:

97669 = 111 × 131 × 6831

Prime Factorization of 97673

Prime factors of 97673 are 97673. Prime factorization of 97673 in exponential form is:

97673 = 976731

Now multiplying the highest exponent prime factors to calculate the LCM of 97669 and 97673.

LCM(97669,97673) = 111 × 131 × 6831 × 976731
LCM(97669,97673) = 9539624237