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What is the Least Common Multiple of 68138 and 68147?

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 68138 and 68147 is 4643400286.

LCM(68138,68147) = 4643400286

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Least Common Multiple of 68138 and 68147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68138 and 68147, than apply into the LCM equation.

GCF(68138,68147) = 1
LCM(68138,68147) = ( 68138 × 68147) / 1
LCM(68138,68147) = 4643400286 / 1
LCM(68138,68147) = 4643400286

Least Common Multiple (LCM) of 68138 and 68147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68138 and 68147. First we will calculate the prime factors of 68138 and 68147.

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

Prime Factorization of 68147

Prime factors of 68147 are 68147. Prime factorization of 68147 in exponential form is:

68147 = 681471

Now multiplying the highest exponent prime factors to calculate the LCM of 68138 and 68147.

LCM(68138,68147) = 21 × 71 × 311 × 1571 × 681471
LCM(68138,68147) = 4643400286