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What is the Least Common Multiple of 92593 and 92602?

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 92593 and 92602 is 8574296986.

LCM(92593,92602) = 8574296986

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Least Common Multiple of 92593 and 92602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92593 and 92602, than apply into the LCM equation.

GCF(92593,92602) = 1
LCM(92593,92602) = ( 92593 × 92602) / 1
LCM(92593,92602) = 8574296986 / 1
LCM(92593,92602) = 8574296986

Least Common Multiple (LCM) of 92593 and 92602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92593 and 92602. First we will calculate the prime factors of 92593 and 92602.

Prime Factorization of 92593

Prime factors of 92593 are 92593. Prime factorization of 92593 in exponential form is:

92593 = 925931

Prime Factorization of 92602

Prime factors of 92602 are 2, 46301. Prime factorization of 92602 in exponential form is:

92602 = 21 × 463011

Now multiplying the highest exponent prime factors to calculate the LCM of 92593 and 92602.

LCM(92593,92602) = 925931 × 21 × 463011
LCM(92593,92602) = 8574296986