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What is the Least Common Multiple of 98152 and 98163?

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 98152 and 98163 is 9634894776.

LCM(98152,98163) = 9634894776

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Least Common Multiple of 98152 and 98163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98152 and 98163, than apply into the LCM equation.

GCF(98152,98163) = 1
LCM(98152,98163) = ( 98152 × 98163) / 1
LCM(98152,98163) = 9634894776 / 1
LCM(98152,98163) = 9634894776

Least Common Multiple (LCM) of 98152 and 98163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98152 and 98163. First we will calculate the prime factors of 98152 and 98163.

Prime Factorization of 98152

Prime factors of 98152 are 2, 12269. Prime factorization of 98152 in exponential form is:

98152 = 23 × 122691

Prime Factorization of 98163

Prime factors of 98163 are 3, 13, 839. Prime factorization of 98163 in exponential form is:

98163 = 32 × 131 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 98152 and 98163.

LCM(98152,98163) = 23 × 122691 × 32 × 131 × 8391
LCM(98152,98163) = 9634894776