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What is the Least Common Multiple of 68096 and 68116?

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 68096 and 68116 is 1159606784.

LCM(68096,68116) = 1159606784

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Least Common Multiple of 68096 and 68116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68096 and 68116, than apply into the LCM equation.

GCF(68096,68116) = 4
LCM(68096,68116) = ( 68096 × 68116) / 4
LCM(68096,68116) = 4638427136 / 4
LCM(68096,68116) = 1159606784

Least Common Multiple (LCM) of 68096 and 68116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68096 and 68116. First we will calculate the prime factors of 68096 and 68116.

Prime Factorization of 68096

Prime factors of 68096 are 2, 7, 19. Prime factorization of 68096 in exponential form is:

68096 = 29 × 71 × 191

Prime Factorization of 68116

Prime factors of 68116 are 2, 17029. Prime factorization of 68116 in exponential form is:

68116 = 22 × 170291

Now multiplying the highest exponent prime factors to calculate the LCM of 68096 and 68116.

LCM(68096,68116) = 29 × 71 × 191 × 170291
LCM(68096,68116) = 1159606784