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What is the Least Common Multiple of 92248 and 92265?

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 92248 and 92265 is 8511261720.

LCM(92248,92265) = 8511261720

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Least Common Multiple of 92248 and 92265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92248 and 92265, than apply into the LCM equation.

GCF(92248,92265) = 1
LCM(92248,92265) = ( 92248 × 92265) / 1
LCM(92248,92265) = 8511261720 / 1
LCM(92248,92265) = 8511261720

Least Common Multiple (LCM) of 92248 and 92265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92248 and 92265. First we will calculate the prime factors of 92248 and 92265.

Prime Factorization of 92248

Prime factors of 92248 are 2, 13, 887. Prime factorization of 92248 in exponential form is:

92248 = 23 × 131 × 8871

Prime Factorization of 92265

Prime factors of 92265 are 3, 5, 6151. Prime factorization of 92265 in exponential form is:

92265 = 31 × 51 × 61511

Now multiplying the highest exponent prime factors to calculate the LCM of 92248 and 92265.

LCM(92248,92265) = 23 × 131 × 8871 × 31 × 51 × 61511
LCM(92248,92265) = 8511261720