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What is the Least Common Multiple of 68906 and 68924?

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 68906 and 68924 is 2374638572.

LCM(68906,68924) = 2374638572

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Least Common Multiple of 68906 and 68924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68906 and 68924, than apply into the LCM equation.

GCF(68906,68924) = 2
LCM(68906,68924) = ( 68906 × 68924) / 2
LCM(68906,68924) = 4749277144 / 2
LCM(68906,68924) = 2374638572

Least Common Multiple (LCM) of 68906 and 68924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68906 and 68924. First we will calculate the prime factors of 68906 and 68924.

Prime Factorization of 68906

Prime factors of 68906 are 2, 131, 263. Prime factorization of 68906 in exponential form is:

68906 = 21 × 1311 × 2631

Prime Factorization of 68924

Prime factors of 68924 are 2, 17231. Prime factorization of 68924 in exponential form is:

68924 = 22 × 172311

Now multiplying the highest exponent prime factors to calculate the LCM of 68906 and 68924.

LCM(68906,68924) = 22 × 1311 × 2631 × 172311
LCM(68906,68924) = 2374638572