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What is the Least Common Multiple of 97877 and 97882?

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 97877 and 97882 is 9580396514.

LCM(97877,97882) = 9580396514

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Least Common Multiple of 97877 and 97882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97877 and 97882, than apply into the LCM equation.

GCF(97877,97882) = 1
LCM(97877,97882) = ( 97877 × 97882) / 1
LCM(97877,97882) = 9580396514 / 1
LCM(97877,97882) = 9580396514

Least Common Multiple (LCM) of 97877 and 97882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97877 and 97882. First we will calculate the prime factors of 97877 and 97882.

Prime Factorization of 97877

Prime factors of 97877 are 13, 7529. Prime factorization of 97877 in exponential form is:

97877 = 131 × 75291

Prime Factorization of 97882

Prime factors of 97882 are 2, 109, 449. Prime factorization of 97882 in exponential form is:

97882 = 21 × 1091 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 97877 and 97882.

LCM(97877,97882) = 131 × 75291 × 21 × 1091 × 4491
LCM(97877,97882) = 9580396514