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What is the Least Common Multiple of 68851 and 68855?

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 68851 and 68855 is 4740735605.

LCM(68851,68855) = 4740735605

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Least Common Multiple of 68851 and 68855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68851 and 68855, than apply into the LCM equation.

GCF(68851,68855) = 1
LCM(68851,68855) = ( 68851 × 68855) / 1
LCM(68851,68855) = 4740735605 / 1
LCM(68851,68855) = 4740735605

Least Common Multiple (LCM) of 68851 and 68855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68851 and 68855. First we will calculate the prime factors of 68851 and 68855.

Prime Factorization of 68851

Prime factors of 68851 are 31, 2221. Prime factorization of 68851 in exponential form is:

68851 = 311 × 22211

Prime Factorization of 68855

Prime factors of 68855 are 5, 47, 293. Prime factorization of 68855 in exponential form is:

68855 = 51 × 471 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 68851 and 68855.

LCM(68851,68855) = 311 × 22211 × 51 × 471 × 2931
LCM(68851,68855) = 4740735605