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What is the Least Common Multiple of 91998 and 92007?

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 91998 and 92007 is 940495554.

LCM(91998,92007) = 940495554

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Least Common Multiple of 91998 and 92007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91998 and 92007, than apply into the LCM equation.

GCF(91998,92007) = 9
LCM(91998,92007) = ( 91998 × 92007) / 9
LCM(91998,92007) = 8464459986 / 9
LCM(91998,92007) = 940495554

Least Common Multiple (LCM) of 91998 and 92007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91998 and 92007. First we will calculate the prime factors of 91998 and 92007.

Prime Factorization of 91998

Prime factors of 91998 are 2, 3, 19, 269. Prime factorization of 91998 in exponential form is:

91998 = 21 × 32 × 191 × 2691

Prime Factorization of 92007

Prime factors of 92007 are 3, 10223. Prime factorization of 92007 in exponential form is:

92007 = 32 × 102231

Now multiplying the highest exponent prime factors to calculate the LCM of 91998 and 92007.

LCM(91998,92007) = 21 × 32 × 191 × 2691 × 102231
LCM(91998,92007) = 940495554