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What is the Least Common Multiple of 68836 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 68836 and 68853 is 4739565108.

LCM(68836,68853) = 4739565108

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Least Common Multiple of 68836 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 68836 and 68853, than apply into the LCM equation.

GCF(68836,68853) = 1
LCM(68836,68853) = ( 68836 × 68853) / 1
LCM(68836,68853) = 4739565108 / 1
LCM(68836,68853) = 4739565108

Least Common Multiple (LCM) of 68836 and 68853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68836 and 68853. First we will calculate the prime factors of 68836 and 68853.

Prime Factorization of 68836

Prime factors of 68836 are 2, 17209. Prime factorization of 68836 in exponential form is:

68836 = 22 × 172091

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 68836 and 68853.

LCM(68836,68853) = 22 × 172091 × 31 × 591 × 3891
LCM(68836,68853) = 4739565108