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What is the Least Common Multiple of 97914 and 97927?

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 97914 and 97927 is 9588424278.

LCM(97914,97927) = 9588424278

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Least Common Multiple of 97914 and 97927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97914 and 97927, than apply into the LCM equation.

GCF(97914,97927) = 1
LCM(97914,97927) = ( 97914 × 97927) / 1
LCM(97914,97927) = 9588424278 / 1
LCM(97914,97927) = 9588424278

Least Common Multiple (LCM) of 97914 and 97927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97914 and 97927. First we will calculate the prime factors of 97914 and 97927.

Prime Factorization of 97914

Prime factors of 97914 are 2, 3, 16319. Prime factorization of 97914 in exponential form is:

97914 = 21 × 31 × 163191

Prime Factorization of 97927

Prime factors of 97927 are 97927. Prime factorization of 97927 in exponential form is:

97927 = 979271

Now multiplying the highest exponent prime factors to calculate the LCM of 97914 and 97927.

LCM(97914,97927) = 21 × 31 × 163191 × 979271
LCM(97914,97927) = 9588424278