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What is the Least Common Multiple of 67909 and 67914?

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 67909 and 67914 is 4611971826.

LCM(67909,67914) = 4611971826

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Least Common Multiple of 67909 and 67914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67909 and 67914, than apply into the LCM equation.

GCF(67909,67914) = 1
LCM(67909,67914) = ( 67909 × 67914) / 1
LCM(67909,67914) = 4611971826 / 1
LCM(67909,67914) = 4611971826

Least Common Multiple (LCM) of 67909 and 67914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67909 and 67914. First we will calculate the prime factors of 67909 and 67914.

Prime Factorization of 67909

Prime factors of 67909 are 59, 1151. Prime factorization of 67909 in exponential form is:

67909 = 591 × 11511

Prime Factorization of 67914

Prime factors of 67914 are 2, 3, 7, 11. Prime factorization of 67914 in exponential form is:

67914 = 21 × 32 × 73 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 67909 and 67914.

LCM(67909,67914) = 591 × 11511 × 21 × 32 × 73 × 111
LCM(67909,67914) = 4611971826