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What is the Least Common Multiple of 98921 and 98930?

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 98921 and 98930 is 9786254530.

LCM(98921,98930) = 9786254530

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Least Common Multiple of 98921 and 98930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98921 and 98930, than apply into the LCM equation.

GCF(98921,98930) = 1
LCM(98921,98930) = ( 98921 × 98930) / 1
LCM(98921,98930) = 9786254530 / 1
LCM(98921,98930) = 9786254530

Least Common Multiple (LCM) of 98921 and 98930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98921 and 98930. First we will calculate the prime factors of 98921 and 98930.

Prime Factorization of 98921

Prime factors of 98921 are 31, 3191. Prime factorization of 98921 in exponential form is:

98921 = 311 × 31911

Prime Factorization of 98930

Prime factors of 98930 are 2, 5, 13, 761. Prime factorization of 98930 in exponential form is:

98930 = 21 × 51 × 131 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 98921 and 98930.

LCM(98921,98930) = 311 × 31911 × 21 × 51 × 131 × 7611
LCM(98921,98930) = 9786254530