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What is the Least Common Multiple of 98913 and 98922?

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 98913 and 98922 is 3261557262.

LCM(98913,98922) = 3261557262

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Least Common Multiple of 98913 and 98922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98913 and 98922, than apply into the LCM equation.

GCF(98913,98922) = 3
LCM(98913,98922) = ( 98913 × 98922) / 3
LCM(98913,98922) = 9784671786 / 3
LCM(98913,98922) = 3261557262

Least Common Multiple (LCM) of 98913 and 98922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98913 and 98922. First we will calculate the prime factors of 98913 and 98922.

Prime Factorization of 98913

Prime factors of 98913 are 3, 32971. Prime factorization of 98913 in exponential form is:

98913 = 31 × 329711

Prime Factorization of 98922

Prime factors of 98922 are 2, 3, 16487. Prime factorization of 98922 in exponential form is:

98922 = 21 × 31 × 164871

Now multiplying the highest exponent prime factors to calculate the LCM of 98913 and 98922.

LCM(98913,98922) = 31 × 329711 × 21 × 164871
LCM(98913,98922) = 3261557262