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What is the Least Common Multiple of 92530 and 92543?

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 92530 and 92543 is 8563003790.

LCM(92530,92543) = 8563003790

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Least Common Multiple of 92530 and 92543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92530 and 92543, than apply into the LCM equation.

GCF(92530,92543) = 1
LCM(92530,92543) = ( 92530 × 92543) / 1
LCM(92530,92543) = 8563003790 / 1
LCM(92530,92543) = 8563003790

Least Common Multiple (LCM) of 92530 and 92543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92530 and 92543. First we will calculate the prime factors of 92530 and 92543.

Prime Factorization of 92530

Prime factors of 92530 are 2, 5, 19, 487. Prime factorization of 92530 in exponential form is:

92530 = 21 × 51 × 191 × 4871

Prime Factorization of 92543

Prime factors of 92543 are 11, 47, 179. Prime factorization of 92543 in exponential form is:

92543 = 111 × 471 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 92530 and 92543.

LCM(92530,92543) = 21 × 51 × 191 × 4871 × 111 × 471 × 1791
LCM(92530,92543) = 8563003790