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What is the Least Common Multiple of 92071 and 92081?

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 92071 and 92081 is 8477989751.

LCM(92071,92081) = 8477989751

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Least Common Multiple of 92071 and 92081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92071 and 92081, than apply into the LCM equation.

GCF(92071,92081) = 1
LCM(92071,92081) = ( 92071 × 92081) / 1
LCM(92071,92081) = 8477989751 / 1
LCM(92071,92081) = 8477989751

Least Common Multiple (LCM) of 92071 and 92081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92071 and 92081. First we will calculate the prime factors of 92071 and 92081.

Prime Factorization of 92071

Prime factors of 92071 are 7, 1879. Prime factorization of 92071 in exponential form is:

92071 = 72 × 18791

Prime Factorization of 92081

Prime factors of 92081 are 11, 761. Prime factorization of 92081 in exponential form is:

92081 = 112 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 92071 and 92081.

LCM(92071,92081) = 72 × 18791 × 112 × 7611
LCM(92071,92081) = 8477989751