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What is the Least Common Multiple of 92535 and 92554?

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 92535 and 92554 is 8564484390.

LCM(92535,92554) = 8564484390

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Least Common Multiple of 92535 and 92554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92535 and 92554, than apply into the LCM equation.

GCF(92535,92554) = 1
LCM(92535,92554) = ( 92535 × 92554) / 1
LCM(92535,92554) = 8564484390 / 1
LCM(92535,92554) = 8564484390

Least Common Multiple (LCM) of 92535 and 92554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92535 and 92554. First we will calculate the prime factors of 92535 and 92554.

Prime Factorization of 92535

Prime factors of 92535 are 3, 5, 31, 199. Prime factorization of 92535 in exponential form is:

92535 = 31 × 51 × 311 × 1991

Prime Factorization of 92554

Prime factors of 92554 are 2, 7, 11, 601. Prime factorization of 92554 in exponential form is:

92554 = 21 × 71 × 111 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 92535 and 92554.

LCM(92535,92554) = 31 × 51 × 311 × 1991 × 21 × 71 × 111 × 6011
LCM(92535,92554) = 8564484390