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What is the Least Common Multiple of 98384 and 98402?

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 98384 and 98402 is 4840591184.

LCM(98384,98402) = 4840591184

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Least Common Multiple of 98384 and 98402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98384 and 98402, than apply into the LCM equation.

GCF(98384,98402) = 2
LCM(98384,98402) = ( 98384 × 98402) / 2
LCM(98384,98402) = 9681182368 / 2
LCM(98384,98402) = 4840591184

Least Common Multiple (LCM) of 98384 and 98402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98384 and 98402. First we will calculate the prime factors of 98384 and 98402.

Prime Factorization of 98384

Prime factors of 98384 are 2, 11, 13, 43. Prime factorization of 98384 in exponential form is:

98384 = 24 × 111 × 131 × 431

Prime Factorization of 98402

Prime factors of 98402 are 2, 49201. Prime factorization of 98402 in exponential form is:

98402 = 21 × 492011

Now multiplying the highest exponent prime factors to calculate the LCM of 98384 and 98402.

LCM(98384,98402) = 24 × 111 × 131 × 431 × 492011
LCM(98384,98402) = 4840591184