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What is the Least Common Multiple of 93233 and 93244?

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 93233 and 93244 is 8693417852.

LCM(93233,93244) = 8693417852

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Least Common Multiple of 93233 and 93244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93233 and 93244, than apply into the LCM equation.

GCF(93233,93244) = 1
LCM(93233,93244) = ( 93233 × 93244) / 1
LCM(93233,93244) = 8693417852 / 1
LCM(93233,93244) = 8693417852

Least Common Multiple (LCM) of 93233 and 93244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93233 and 93244. First we will calculate the prime factors of 93233 and 93244.

Prime Factorization of 93233

Prime factors of 93233 are 7, 19, 701. Prime factorization of 93233 in exponential form is:

93233 = 71 × 191 × 7011

Prime Factorization of 93244

Prime factors of 93244 are 2, 23311. Prime factorization of 93244 in exponential form is:

93244 = 22 × 233111

Now multiplying the highest exponent prime factors to calculate the LCM of 93233 and 93244.

LCM(93233,93244) = 71 × 191 × 7011 × 22 × 233111
LCM(93233,93244) = 8693417852