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What is the Least Common Multiple of 98937 and 98947?

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 98937 and 98947 is 9789519339.

LCM(98937,98947) = 9789519339

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Least Common Multiple of 98937 and 98947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98937 and 98947, than apply into the LCM equation.

GCF(98937,98947) = 1
LCM(98937,98947) = ( 98937 × 98947) / 1
LCM(98937,98947) = 9789519339 / 1
LCM(98937,98947) = 9789519339

Least Common Multiple (LCM) of 98937 and 98947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98937 and 98947. First we will calculate the prime factors of 98937 and 98947.

Prime Factorization of 98937

Prime factors of 98937 are 3, 10993. Prime factorization of 98937 in exponential form is:

98937 = 32 × 109931

Prime Factorization of 98947

Prime factors of 98947 are 98947. Prime factorization of 98947 in exponential form is:

98947 = 989471

Now multiplying the highest exponent prime factors to calculate the LCM of 98937 and 98947.

LCM(98937,98947) = 32 × 109931 × 989471
LCM(98937,98947) = 9789519339