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What is the Least Common Multiple of 92374 and 92385?

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 92374 and 92385 is 8533971990.

LCM(92374,92385) = 8533971990

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Least Common Multiple of 92374 and 92385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92374 and 92385, than apply into the LCM equation.

GCF(92374,92385) = 1
LCM(92374,92385) = ( 92374 × 92385) / 1
LCM(92374,92385) = 8533971990 / 1
LCM(92374,92385) = 8533971990

Least Common Multiple (LCM) of 92374 and 92385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92374 and 92385. First we will calculate the prime factors of 92374 and 92385.

Prime Factorization of 92374

Prime factors of 92374 are 2, 46187. Prime factorization of 92374 in exponential form is:

92374 = 21 × 461871

Prime Factorization of 92385

Prime factors of 92385 are 3, 5, 2053. Prime factorization of 92385 in exponential form is:

92385 = 32 × 51 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 92374 and 92385.

LCM(92374,92385) = 21 × 461871 × 32 × 51 × 20531
LCM(92374,92385) = 8533971990