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What is the Least Common Multiple of 93224 and 93233?

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 93224 and 93233 is 8691553192.

LCM(93224,93233) = 8691553192

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Least Common Multiple of 93224 and 93233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93224 and 93233, than apply into the LCM equation.

GCF(93224,93233) = 1
LCM(93224,93233) = ( 93224 × 93233) / 1
LCM(93224,93233) = 8691553192 / 1
LCM(93224,93233) = 8691553192

Least Common Multiple (LCM) of 93224 and 93233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93224 and 93233. First we will calculate the prime factors of 93224 and 93233.

Prime Factorization of 93224

Prime factors of 93224 are 2, 43, 271. Prime factorization of 93224 in exponential form is:

93224 = 23 × 431 × 2711

Prime Factorization of 93233

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

93233 = 71 × 191 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 93224 and 93233.

LCM(93224,93233) = 23 × 431 × 2711 × 71 × 191 × 7011
LCM(93224,93233) = 8691553192