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What is the Least Common Multiple of 8233 and 8250?

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 8233 and 8250 is 67922250.

LCM(8233,8250) = 67922250

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Least Common Multiple of 8233 and 8250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8233 and 8250, than apply into the LCM equation.

GCF(8233,8250) = 1
LCM(8233,8250) = ( 8233 × 8250) / 1
LCM(8233,8250) = 67922250 / 1
LCM(8233,8250) = 67922250

Least Common Multiple (LCM) of 8233 and 8250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8233 and 8250. First we will calculate the prime factors of 8233 and 8250.

Prime Factorization of 8233

Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:

8233 = 82331

Prime Factorization of 8250

Prime factors of 8250 are 2, 3, 5, 11. Prime factorization of 8250 in exponential form is:

8250 = 21 × 31 × 53 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 8233 and 8250.

LCM(8233,8250) = 82331 × 21 × 31 × 53 × 111
LCM(8233,8250) = 67922250