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What is the Least Common Multiple of 66921 and 66931?

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 66921 and 66931 is 4479089451.

LCM(66921,66931) = 4479089451

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Least Common Multiple of 66921 and 66931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66921 and 66931, than apply into the LCM equation.

GCF(66921,66931) = 1
LCM(66921,66931) = ( 66921 × 66931) / 1
LCM(66921,66931) = 4479089451 / 1
LCM(66921,66931) = 4479089451

Least Common Multiple (LCM) of 66921 and 66931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66921 and 66931. First we will calculate the prime factors of 66921 and 66931.

Prime Factorization of 66921

Prime factors of 66921 are 3, 22307. Prime factorization of 66921 in exponential form is:

66921 = 31 × 223071

Prime Factorization of 66931

Prime factors of 66931 are 66931. Prime factorization of 66931 in exponential form is:

66931 = 669311

Now multiplying the highest exponent prime factors to calculate the LCM of 66921 and 66931.

LCM(66921,66931) = 31 × 223071 × 669311
LCM(66921,66931) = 4479089451