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What is the Least Common Multiple of 68121 and 68138?

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 68121 and 68138 is 4641628698.

LCM(68121,68138) = 4641628698

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Least Common Multiple of 68121 and 68138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68121 and 68138, than apply into the LCM equation.

GCF(68121,68138) = 1
LCM(68121,68138) = ( 68121 × 68138) / 1
LCM(68121,68138) = 4641628698 / 1
LCM(68121,68138) = 4641628698

Least Common Multiple (LCM) of 68121 and 68138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68121 and 68138. First we will calculate the prime factors of 68121 and 68138.

Prime Factorization of 68121

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

68121 = 34 × 292

Prime Factorization of 68138

Prime factors of 68138 are 2, 7, 31, 157. Prime factorization of 68138 in exponential form is:

68138 = 21 × 71 × 311 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 68121 and 68138.

LCM(68121,68138) = 34 × 292 × 21 × 71 × 311 × 1571
LCM(68121,68138) = 4641628698