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What is the Least Common Multiple of 68111 and 68121?

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 68111 and 68121 is 4639789431.

LCM(68111,68121) = 4639789431

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Least Common Multiple of 68111 and 68121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68111 and 68121, than apply into the LCM equation.

GCF(68111,68121) = 1
LCM(68111,68121) = ( 68111 × 68121) / 1
LCM(68111,68121) = 4639789431 / 1
LCM(68111,68121) = 4639789431

Least Common Multiple (LCM) of 68111 and 68121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68111 and 68121. First we will calculate the prime factors of 68111 and 68121.

Prime Factorization of 68111

Prime factors of 68111 are 68111. Prime factorization of 68111 in exponential form is:

68111 = 681111

Prime Factorization of 68121

Prime factors of 68121 are 3, 29. Prime factorization of 68121 in exponential form is:

68121 = 34 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 68111 and 68121.

LCM(68111,68121) = 681111 × 34 × 292
LCM(68111,68121) = 4639789431