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What is the Least Common Multiple of 92913 and 92921?

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 92913 and 92921 is 8633568873.

LCM(92913,92921) = 8633568873

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Least Common Multiple of 92913 and 92921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92913 and 92921, than apply into the LCM equation.

GCF(92913,92921) = 1
LCM(92913,92921) = ( 92913 × 92921) / 1
LCM(92913,92921) = 8633568873 / 1
LCM(92913,92921) = 8633568873

Least Common Multiple (LCM) of 92913 and 92921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92913 and 92921. First we will calculate the prime factors of 92913 and 92921.

Prime Factorization of 92913

Prime factors of 92913 are 3, 30971. Prime factorization of 92913 in exponential form is:

92913 = 31 × 309711

Prime Factorization of 92921

Prime factors of 92921 are 92921. Prime factorization of 92921 in exponential form is:

92921 = 929211

Now multiplying the highest exponent prime factors to calculate the LCM of 92913 and 92921.

LCM(92913,92921) = 31 × 309711 × 929211
LCM(92913,92921) = 8633568873