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What is the Least Common Multiple of 92301 and 92321?

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 92301 and 92321 is 8521320621.

LCM(92301,92321) = 8521320621

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Least Common Multiple of 92301 and 92321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92301 and 92321, than apply into the LCM equation.

GCF(92301,92321) = 1
LCM(92301,92321) = ( 92301 × 92321) / 1
LCM(92301,92321) = 8521320621 / 1
LCM(92301,92321) = 8521320621

Least Common Multiple (LCM) of 92301 and 92321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92301 and 92321. First we will calculate the prime factors of 92301 and 92321.

Prime Factorization of 92301

Prime factors of 92301 are 3, 11, 2797. Prime factorization of 92301 in exponential form is:

92301 = 31 × 111 × 27971

Prime Factorization of 92321

Prime factors of 92321 are 19, 43, 113. Prime factorization of 92321 in exponential form is:

92321 = 191 × 431 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 92301 and 92321.

LCM(92301,92321) = 31 × 111 × 27971 × 191 × 431 × 1131
LCM(92301,92321) = 8521320621