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What is the Least Common Multiple of 98534 and 98551?

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 98534 and 98551 is 9710624234.

LCM(98534,98551) = 9710624234

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Least Common Multiple of 98534 and 98551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98534 and 98551, than apply into the LCM equation.

GCF(98534,98551) = 1
LCM(98534,98551) = ( 98534 × 98551) / 1
LCM(98534,98551) = 9710624234 / 1
LCM(98534,98551) = 9710624234

Least Common Multiple (LCM) of 98534 and 98551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98534 and 98551. First we will calculate the prime factors of 98534 and 98551.

Prime Factorization of 98534

Prime factors of 98534 are 2, 19, 2593. Prime factorization of 98534 in exponential form is:

98534 = 21 × 191 × 25931

Prime Factorization of 98551

Prime factors of 98551 are 139, 709. Prime factorization of 98551 in exponential form is:

98551 = 1391 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 98534 and 98551.

LCM(98534,98551) = 21 × 191 × 25931 × 1391 × 7091
LCM(98534,98551) = 9710624234