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What is the Least Common Multiple of 99194 and 99213?

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 99194 and 99213 is 9841334322.

LCM(99194,99213) = 9841334322

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Least Common Multiple of 99194 and 99213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99194 and 99213, than apply into the LCM equation.

GCF(99194,99213) = 1
LCM(99194,99213) = ( 99194 × 99213) / 1
LCM(99194,99213) = 9841334322 / 1
LCM(99194,99213) = 9841334322

Least Common Multiple (LCM) of 99194 and 99213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99194 and 99213. First we will calculate the prime factors of 99194 and 99213.

Prime Factorization of 99194

Prime factors of 99194 are 2, 49597. Prime factorization of 99194 in exponential form is:

99194 = 21 × 495971

Prime Factorization of 99213

Prime factors of 99213 are 3, 33071. Prime factorization of 99213 in exponential form is:

99213 = 31 × 330711

Now multiplying the highest exponent prime factors to calculate the LCM of 99194 and 99213.

LCM(99194,99213) = 21 × 495971 × 31 × 330711
LCM(99194,99213) = 9841334322