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What is the Least Common Multiple of 68841 and 68853?

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 68841 and 68853 is 1579969791.

LCM(68841,68853) = 1579969791

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Least Common Multiple of 68841 and 68853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68841 and 68853, than apply into the LCM equation.

GCF(68841,68853) = 3
LCM(68841,68853) = ( 68841 × 68853) / 3
LCM(68841,68853) = 4739909373 / 3
LCM(68841,68853) = 1579969791

Least Common Multiple (LCM) of 68841 and 68853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68841 and 68853. First we will calculate the prime factors of 68841 and 68853.

Prime Factorization of 68841

Prime factors of 68841 are 3, 7649. Prime factorization of 68841 in exponential form is:

68841 = 32 × 76491

Prime Factorization of 68853

Prime factors of 68853 are 3, 59, 389. Prime factorization of 68853 in exponential form is:

68853 = 31 × 591 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 68841 and 68853.

LCM(68841,68853) = 32 × 76491 × 591 × 3891
LCM(68841,68853) = 1579969791