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What is the Least Common Multiple of 68087 and 68098?

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 68087 and 68098 is 4636588526.

LCM(68087,68098) = 4636588526

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Least Common Multiple of 68087 and 68098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68087 and 68098, than apply into the LCM equation.

GCF(68087,68098) = 1
LCM(68087,68098) = ( 68087 × 68098) / 1
LCM(68087,68098) = 4636588526 / 1
LCM(68087,68098) = 4636588526

Least Common Multiple (LCM) of 68087 and 68098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68087 and 68098. First we will calculate the prime factors of 68087 and 68098.

Prime Factorization of 68087

Prime factors of 68087 are 68087. Prime factorization of 68087 in exponential form is:

68087 = 680871

Prime Factorization of 68098

Prime factors of 68098 are 2, 79, 431. Prime factorization of 68098 in exponential form is:

68098 = 21 × 791 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 68087 and 68098.

LCM(68087,68098) = 680871 × 21 × 791 × 4311
LCM(68087,68098) = 4636588526