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What is the Least Common Multiple of 92301 and 92307?

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 92307 is 2840009469.

LCM(92301,92307) = 2840009469

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Least Common Multiple of 92301 and 92307 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 92307, than apply into the LCM equation.

GCF(92301,92307) = 3
LCM(92301,92307) = ( 92301 × 92307) / 3
LCM(92301,92307) = 8520028407 / 3
LCM(92301,92307) = 2840009469

Least Common Multiple (LCM) of 92301 and 92307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92301 and 92307. First we will calculate the prime factors of 92301 and 92307.

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 92307

Prime factors of 92307 are 3, 29, 1061. Prime factorization of 92307 in exponential form is:

92307 = 31 × 291 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 92301 and 92307.

LCM(92301,92307) = 31 × 111 × 27971 × 291 × 10611
LCM(92301,92307) = 2840009469