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What is the Least Common Multiple of 92633 and 92650?

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 92633 and 92650 is 504849850.

LCM(92633,92650) = 504849850

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Least Common Multiple of 92633 and 92650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92633 and 92650, than apply into the LCM equation.

GCF(92633,92650) = 17
LCM(92633,92650) = ( 92633 × 92650) / 17
LCM(92633,92650) = 8582447450 / 17
LCM(92633,92650) = 504849850

Least Common Multiple (LCM) of 92633 and 92650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92633 and 92650. First we will calculate the prime factors of 92633 and 92650.

Prime Factorization of 92633

Prime factors of 92633 are 17, 5449. Prime factorization of 92633 in exponential form is:

92633 = 171 × 54491

Prime Factorization of 92650

Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:

92650 = 21 × 52 × 171 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 92633 and 92650.

LCM(92633,92650) = 171 × 54491 × 21 × 52 × 1091
LCM(92633,92650) = 504849850