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What is the Least Common Multiple of 68019 and 68031?

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 68019 and 68031 is 1542466863.

LCM(68019,68031) = 1542466863

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Least Common Multiple of 68019 and 68031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68019 and 68031, than apply into the LCM equation.

GCF(68019,68031) = 3
LCM(68019,68031) = ( 68019 × 68031) / 3
LCM(68019,68031) = 4627400589 / 3
LCM(68019,68031) = 1542466863

Least Common Multiple (LCM) of 68019 and 68031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68019 and 68031. First we will calculate the prime factors of 68019 and 68031.

Prime Factorization of 68019

Prime factors of 68019 are 3, 7, 41, 79. Prime factorization of 68019 in exponential form is:

68019 = 31 × 71 × 411 × 791

Prime Factorization of 68031

Prime factors of 68031 are 3, 7559. Prime factorization of 68031 in exponential form is:

68031 = 32 × 75591

Now multiplying the highest exponent prime factors to calculate the LCM of 68019 and 68031.

LCM(68019,68031) = 32 × 71 × 411 × 791 × 75591
LCM(68019,68031) = 1542466863