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What is the Least Common Multiple of 97848 and 97866?

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 97848 and 97866 is 531999576.

LCM(97848,97866) = 531999576

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Least Common Multiple of 97848 and 97866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97848 and 97866, than apply into the LCM equation.

GCF(97848,97866) = 18
LCM(97848,97866) = ( 97848 × 97866) / 18
LCM(97848,97866) = 9575992368 / 18
LCM(97848,97866) = 531999576

Least Common Multiple (LCM) of 97848 and 97866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97848 and 97866. First we will calculate the prime factors of 97848 and 97866.

Prime Factorization of 97848

Prime factors of 97848 are 2, 3, 151. Prime factorization of 97848 in exponential form is:

97848 = 23 × 34 × 1511

Prime Factorization of 97866

Prime factors of 97866 are 2, 3, 5437. Prime factorization of 97866 in exponential form is:

97866 = 21 × 32 × 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 97848 and 97866.

LCM(97848,97866) = 23 × 34 × 1511 × 54371
LCM(97848,97866) = 531999576