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What is the Least Common Multiple of 98811 and 98822?

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 98811 and 98822 is 9764700642.

LCM(98811,98822) = 9764700642

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Least Common Multiple of 98811 and 98822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98811 and 98822, than apply into the LCM equation.

GCF(98811,98822) = 1
LCM(98811,98822) = ( 98811 × 98822) / 1
LCM(98811,98822) = 9764700642 / 1
LCM(98811,98822) = 9764700642

Least Common Multiple (LCM) of 98811 and 98822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98811 and 98822. First we will calculate the prime factors of 98811 and 98822.

Prime Factorization of 98811

Prime factors of 98811 are 3, 10979. Prime factorization of 98811 in exponential form is:

98811 = 32 × 109791

Prime Factorization of 98822

Prime factors of 98822 are 2, 49411. Prime factorization of 98822 in exponential form is:

98822 = 21 × 494111

Now multiplying the highest exponent prime factors to calculate the LCM of 98811 and 98822.

LCM(98811,98822) = 32 × 109791 × 21 × 494111
LCM(98811,98822) = 9764700642