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What is the Least Common Multiple of 68836 and 68846?

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 68846 is 2369541628.

LCM(68836,68846) = 2369541628

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Least Common Multiple of 68836 and 68846 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 68846, than apply into the LCM equation.

GCF(68836,68846) = 2
LCM(68836,68846) = ( 68836 × 68846) / 2
LCM(68836,68846) = 4739083256 / 2
LCM(68836,68846) = 2369541628

Least Common Multiple (LCM) of 68836 and 68846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68836 and 68846. First we will calculate the prime factors of 68836 and 68846.

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 68846

Prime factors of 68846 are 2, 29, 1187. Prime factorization of 68846 in exponential form is:

68846 = 21 × 291 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 68836 and 68846.

LCM(68836,68846) = 22 × 172091 × 291 × 11871
LCM(68836,68846) = 2369541628