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What is the Least Common Multiple of 92372 and 92389?

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 92372 and 92389 is 8534156708.

LCM(92372,92389) = 8534156708

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Least Common Multiple of 92372 and 92389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92372 and 92389, than apply into the LCM equation.

GCF(92372,92389) = 1
LCM(92372,92389) = ( 92372 × 92389) / 1
LCM(92372,92389) = 8534156708 / 1
LCM(92372,92389) = 8534156708

Least Common Multiple (LCM) of 92372 and 92389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92372 and 92389. First we will calculate the prime factors of 92372 and 92389.

Prime Factorization of 92372

Prime factors of 92372 are 2, 7, 3299. Prime factorization of 92372 in exponential form is:

92372 = 22 × 71 × 32991

Prime Factorization of 92389

Prime factors of 92389 are 11, 37, 227. Prime factorization of 92389 in exponential form is:

92389 = 111 × 371 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 92372 and 92389.

LCM(92372,92389) = 22 × 71 × 32991 × 111 × 371 × 2271
LCM(92372,92389) = 8534156708