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What is the Least Common Multiple of 66811 and 66831?

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 66811 and 66831 is 4465045941.

LCM(66811,66831) = 4465045941

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Least Common Multiple of 66811 and 66831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66811 and 66831, than apply into the LCM equation.

GCF(66811,66831) = 1
LCM(66811,66831) = ( 66811 × 66831) / 1
LCM(66811,66831) = 4465045941 / 1
LCM(66811,66831) = 4465045941

Least Common Multiple (LCM) of 66811 and 66831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66811 and 66831. First we will calculate the prime factors of 66811 and 66831.

Prime Factorization of 66811

Prime factors of 66811 are 71, 941. Prime factorization of 66811 in exponential form is:

66811 = 711 × 9411

Prime Factorization of 66831

Prime factors of 66831 are 3, 22277. Prime factorization of 66831 in exponential form is:

66831 = 31 × 222771

Now multiplying the highest exponent prime factors to calculate the LCM of 66811 and 66831.

LCM(66811,66831) = 711 × 9411 × 31 × 222771
LCM(66811,66831) = 4465045941