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What is the Least Common Multiple of 68849 and 68857?

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 68849 and 68857 is 4740735593.

LCM(68849,68857) = 4740735593

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Least Common Multiple of 68849 and 68857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68849 and 68857, than apply into the LCM equation.

GCF(68849,68857) = 1
LCM(68849,68857) = ( 68849 × 68857) / 1
LCM(68849,68857) = 4740735593 / 1
LCM(68849,68857) = 4740735593

Least Common Multiple (LCM) of 68849 and 68857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68849 and 68857. First we will calculate the prime factors of 68849 and 68857.

Prime Factorization of 68849

Prime factors of 68849 are 11, 569. Prime factorization of 68849 in exponential form is:

68849 = 112 × 5691

Prime Factorization of 68857

Prime factors of 68857 are 37, 1861. Prime factorization of 68857 in exponential form is:

68857 = 371 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 68849 and 68857.

LCM(68849,68857) = 112 × 5691 × 371 × 18611
LCM(68849,68857) = 4740735593