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What is the Least Common Multiple of 68908 and 68914?

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 68908 and 68914 is 2374362956.

LCM(68908,68914) = 2374362956

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Least Common Multiple of 68908 and 68914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68908 and 68914, than apply into the LCM equation.

GCF(68908,68914) = 2
LCM(68908,68914) = ( 68908 × 68914) / 2
LCM(68908,68914) = 4748725912 / 2
LCM(68908,68914) = 2374362956

Least Common Multiple (LCM) of 68908 and 68914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68908 and 68914. First we will calculate the prime factors of 68908 and 68914.

Prime Factorization of 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 22 × 71 × 231 × 1071

Prime Factorization of 68914

Prime factors of 68914 are 2, 34457. Prime factorization of 68914 in exponential form is:

68914 = 21 × 344571

Now multiplying the highest exponent prime factors to calculate the LCM of 68908 and 68914.

LCM(68908,68914) = 22 × 71 × 231 × 1071 × 344571
LCM(68908,68914) = 2374362956