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What is the Least Common Multiple of 68197 and 68211?

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 68197 and 68211 is 4651785567.

LCM(68197,68211) = 4651785567

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Least Common Multiple of 68197 and 68211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68197 and 68211, than apply into the LCM equation.

GCF(68197,68211) = 1
LCM(68197,68211) = ( 68197 × 68211) / 1
LCM(68197,68211) = 4651785567 / 1
LCM(68197,68211) = 4651785567

Least Common Multiple (LCM) of 68197 and 68211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68197 and 68211. First we will calculate the prime factors of 68197 and 68211.

Prime Factorization of 68197

Prime factors of 68197 are 47, 1451. Prime factorization of 68197 in exponential form is:

68197 = 471 × 14511

Prime Factorization of 68211

Prime factors of 68211 are 3, 11, 13, 53. Prime factorization of 68211 in exponential form is:

68211 = 32 × 111 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 68197 and 68211.

LCM(68197,68211) = 471 × 14511 × 32 × 111 × 131 × 531
LCM(68197,68211) = 4651785567