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What is the Least Common Multiple of 97921 and 97926?

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 97921 and 97926 is 9589011846.

LCM(97921,97926) = 9589011846

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Least Common Multiple of 97921 and 97926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97921 and 97926, than apply into the LCM equation.

GCF(97921,97926) = 1
LCM(97921,97926) = ( 97921 × 97926) / 1
LCM(97921,97926) = 9589011846 / 1
LCM(97921,97926) = 9589011846

Least Common Multiple (LCM) of 97921 and 97926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97921 and 97926. First we will calculate the prime factors of 97921 and 97926.

Prime Factorization of 97921

Prime factors of 97921 are 181, 541. Prime factorization of 97921 in exponential form is:

97921 = 1811 × 5411

Prime Factorization of 97926

Prime factors of 97926 are 2, 3, 19, 859. Prime factorization of 97926 in exponential form is:

97926 = 21 × 31 × 191 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 97921 and 97926.

LCM(97921,97926) = 1811 × 5411 × 21 × 31 × 191 × 8591
LCM(97921,97926) = 9589011846