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What is the Least Common Multiple of 88537 and 88543?

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 88537 and 88543 is 7839331591.

LCM(88537,88543) = 7839331591

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Least Common Multiple of 88537 and 88543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88537 and 88543, than apply into the LCM equation.

GCF(88537,88543) = 1
LCM(88537,88543) = ( 88537 × 88543) / 1
LCM(88537,88543) = 7839331591 / 1
LCM(88537,88543) = 7839331591

Least Common Multiple (LCM) of 88537 and 88543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88537 and 88543. First we will calculate the prime factors of 88537 and 88543.

Prime Factorization of 88537

Prime factors of 88537 are 29, 43, 71. Prime factorization of 88537 in exponential form is:

88537 = 291 × 431 × 711

Prime Factorization of 88543

Prime factors of 88543 are 7, 13, 139. Prime factorization of 88543 in exponential form is:

88543 = 72 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 88537 and 88543.

LCM(88537,88543) = 291 × 431 × 711 × 72 × 131 × 1391
LCM(88537,88543) = 7839331591