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What is the Least Common Multiple of 66880 and 66891?

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 66880 and 66891 is 406697280.

LCM(66880,66891) = 406697280

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Least Common Multiple of 66880 and 66891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66880 and 66891, than apply into the LCM equation.

GCF(66880,66891) = 11
LCM(66880,66891) = ( 66880 × 66891) / 11
LCM(66880,66891) = 4473670080 / 11
LCM(66880,66891) = 406697280

Least Common Multiple (LCM) of 66880 and 66891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66880 and 66891. First we will calculate the prime factors of 66880 and 66891.

Prime Factorization of 66880

Prime factors of 66880 are 2, 5, 11, 19. Prime factorization of 66880 in exponential form is:

66880 = 26 × 51 × 111 × 191

Prime Factorization of 66891

Prime factors of 66891 are 3, 11, 2027. Prime factorization of 66891 in exponential form is:

66891 = 31 × 111 × 20271

Now multiplying the highest exponent prime factors to calculate the LCM of 66880 and 66891.

LCM(66880,66891) = 26 × 51 × 111 × 191 × 31 × 20271
LCM(66880,66891) = 406697280