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What is the Least Common Multiple of 92493 and 92504?

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 92493 and 92504 is 8555972472.

LCM(92493,92504) = 8555972472

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Least Common Multiple of 92493 and 92504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92493 and 92504, than apply into the LCM equation.

GCF(92493,92504) = 1
LCM(92493,92504) = ( 92493 × 92504) / 1
LCM(92493,92504) = 8555972472 / 1
LCM(92493,92504) = 8555972472

Least Common Multiple (LCM) of 92493 and 92504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92493 and 92504. First we will calculate the prime factors of 92493 and 92504.

Prime Factorization of 92493

Prime factors of 92493 are 3, 43, 239. Prime factorization of 92493 in exponential form is:

92493 = 32 × 431 × 2391

Prime Factorization of 92504

Prime factors of 92504 are 2, 31, 373. Prime factorization of 92504 in exponential form is:

92504 = 23 × 311 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 92493 and 92504.

LCM(92493,92504) = 32 × 431 × 2391 × 23 × 311 × 3731
LCM(92493,92504) = 8555972472