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What is the Least Common Multiple of 97892 and 97899?

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 97892 and 97899 is 9583528908.

LCM(97892,97899) = 9583528908

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Least Common Multiple of 97892 and 97899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97892 and 97899, than apply into the LCM equation.

GCF(97892,97899) = 1
LCM(97892,97899) = ( 97892 × 97899) / 1
LCM(97892,97899) = 9583528908 / 1
LCM(97892,97899) = 9583528908

Least Common Multiple (LCM) of 97892 and 97899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97892 and 97899. First we will calculate the prime factors of 97892 and 97899.

Prime Factorization of 97892

Prime factors of 97892 are 2, 24473. Prime factorization of 97892 in exponential form is:

97892 = 22 × 244731

Prime Factorization of 97899

Prime factors of 97899 are 3, 32633. Prime factorization of 97899 in exponential form is:

97899 = 31 × 326331

Now multiplying the highest exponent prime factors to calculate the LCM of 97892 and 97899.

LCM(97892,97899) = 22 × 244731 × 31 × 326331
LCM(97892,97899) = 9583528908