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What is the Least Common Multiple of 92536 and 92555?

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 92536 and 92555 is 8564669480.

LCM(92536,92555) = 8564669480

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Least Common Multiple of 92536 and 92555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92536 and 92555, than apply into the LCM equation.

GCF(92536,92555) = 1
LCM(92536,92555) = ( 92536 × 92555) / 1
LCM(92536,92555) = 8564669480 / 1
LCM(92536,92555) = 8564669480

Least Common Multiple (LCM) of 92536 and 92555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92536 and 92555. First we will calculate the prime factors of 92536 and 92555.

Prime Factorization of 92536

Prime factors of 92536 are 2, 43, 269. Prime factorization of 92536 in exponential form is:

92536 = 23 × 431 × 2691

Prime Factorization of 92555

Prime factors of 92555 are 5, 107, 173. Prime factorization of 92555 in exponential form is:

92555 = 51 × 1071 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 92536 and 92555.

LCM(92536,92555) = 23 × 431 × 2691 × 51 × 1071 × 1731
LCM(92536,92555) = 8564669480