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What is the Least Common Multiple of 98796 and 98809?

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 98796 and 98809 is 9761933964.

LCM(98796,98809) = 9761933964

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Least Common Multiple of 98796 and 98809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98796 and 98809, than apply into the LCM equation.

GCF(98796,98809) = 1
LCM(98796,98809) = ( 98796 × 98809) / 1
LCM(98796,98809) = 9761933964 / 1
LCM(98796,98809) = 9761933964

Least Common Multiple (LCM) of 98796 and 98809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98796 and 98809. First we will calculate the prime factors of 98796 and 98809.

Prime Factorization of 98796

Prime factors of 98796 are 2, 3, 8233. Prime factorization of 98796 in exponential form is:

98796 = 22 × 31 × 82331

Prime Factorization of 98809

Prime factors of 98809 are 98809. Prime factorization of 98809 in exponential form is:

98809 = 988091

Now multiplying the highest exponent prime factors to calculate the LCM of 98796 and 98809.

LCM(98796,98809) = 22 × 31 × 82331 × 988091
LCM(98796,98809) = 9761933964