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What is the Least Common Multiple of 92340 and 92348?

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 92340 and 92348 is 2131853580.

LCM(92340,92348) = 2131853580

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Least Common Multiple of 92340 and 92348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92340 and 92348, than apply into the LCM equation.

GCF(92340,92348) = 4
LCM(92340,92348) = ( 92340 × 92348) / 4
LCM(92340,92348) = 8527414320 / 4
LCM(92340,92348) = 2131853580

Least Common Multiple (LCM) of 92340 and 92348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92340 and 92348. First we will calculate the prime factors of 92340 and 92348.

Prime Factorization of 92340

Prime factors of 92340 are 2, 3, 5, 19. Prime factorization of 92340 in exponential form is:

92340 = 22 × 35 × 51 × 191

Prime Factorization of 92348

Prime factors of 92348 are 2, 23087. Prime factorization of 92348 in exponential form is:

92348 = 22 × 230871

Now multiplying the highest exponent prime factors to calculate the LCM of 92340 and 92348.

LCM(92340,92348) = 22 × 35 × 51 × 191 × 230871
LCM(92340,92348) = 2131853580