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What is the Least Common Multiple of 67113 and 67119?

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 67113 and 67119 is 1501519149.

LCM(67113,67119) = 1501519149

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Least Common Multiple of 67113 and 67119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67113 and 67119, than apply into the LCM equation.

GCF(67113,67119) = 3
LCM(67113,67119) = ( 67113 × 67119) / 3
LCM(67113,67119) = 4504557447 / 3
LCM(67113,67119) = 1501519149

Least Common Multiple (LCM) of 67113 and 67119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67113 and 67119. First we will calculate the prime factors of 67113 and 67119.

Prime Factorization of 67113

Prime factors of 67113 are 3, 7457. Prime factorization of 67113 in exponential form is:

67113 = 32 × 74571

Prime Factorization of 67119

Prime factors of 67119 are 3, 13, 1721. Prime factorization of 67119 in exponential form is:

67119 = 31 × 131 × 17211

Now multiplying the highest exponent prime factors to calculate the LCM of 67113 and 67119.

LCM(67113,67119) = 32 × 74571 × 131 × 17211
LCM(67113,67119) = 1501519149