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What is the Least Common Multiple of 67921 and 67931?

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 67921 and 67931 is 4613941451.

LCM(67921,67931) = 4613941451

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Least Common Multiple of 67921 and 67931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67921 and 67931, than apply into the LCM equation.

GCF(67921,67931) = 1
LCM(67921,67931) = ( 67921 × 67931) / 1
LCM(67921,67931) = 4613941451 / 1
LCM(67921,67931) = 4613941451

Least Common Multiple (LCM) of 67921 and 67931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67921 and 67931. First we will calculate the prime factors of 67921 and 67931.

Prime Factorization of 67921

Prime factors of 67921 are 7, 31, 313. Prime factorization of 67921 in exponential form is:

67921 = 71 × 311 × 3131

Prime Factorization of 67931

Prime factors of 67931 are 67931. Prime factorization of 67931 in exponential form is:

67931 = 679311

Now multiplying the highest exponent prime factors to calculate the LCM of 67921 and 67931.

LCM(67921,67931) = 71 × 311 × 3131 × 679311
LCM(67921,67931) = 4613941451