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What is the Least Common Multiple of 99155 and 99162?

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 99155 and 99162 is 1404629730.

LCM(99155,99162) = 1404629730

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Least Common Multiple of 99155 and 99162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99155 and 99162, than apply into the LCM equation.

GCF(99155,99162) = 7
LCM(99155,99162) = ( 99155 × 99162) / 7
LCM(99155,99162) = 9832408110 / 7
LCM(99155,99162) = 1404629730

Least Common Multiple (LCM) of 99155 and 99162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99155 and 99162. First we will calculate the prime factors of 99155 and 99162.

Prime Factorization of 99155

Prime factors of 99155 are 5, 7, 2833. Prime factorization of 99155 in exponential form is:

99155 = 51 × 71 × 28331

Prime Factorization of 99162

Prime factors of 99162 are 2, 3, 7, 787. Prime factorization of 99162 in exponential form is:

99162 = 21 × 32 × 71 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 99155 and 99162.

LCM(99155,99162) = 51 × 71 × 28331 × 21 × 32 × 7871
LCM(99155,99162) = 1404629730