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What is the Least Common Multiple of 92998 and 93011?

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 92998 and 93011 is 8649836978.

LCM(92998,93011) = 8649836978

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Least Common Multiple of 92998 and 93011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92998 and 93011, than apply into the LCM equation.

GCF(92998,93011) = 1
LCM(92998,93011) = ( 92998 × 93011) / 1
LCM(92998,93011) = 8649836978 / 1
LCM(92998,93011) = 8649836978

Least Common Multiple (LCM) of 92998 and 93011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92998 and 93011. First we will calculate the prime factors of 92998 and 93011.

Prime Factorization of 92998

Prime factors of 92998 are 2, 46499. Prime factorization of 92998 in exponential form is:

92998 = 21 × 464991

Prime Factorization of 93011

Prime factors of 93011 are 281, 331. Prime factorization of 93011 in exponential form is:

93011 = 2811 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 92998 and 93011.

LCM(92998,93011) = 21 × 464991 × 2811 × 3311
LCM(92998,93011) = 8649836978