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What is the Least Common Multiple of 8241 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 8241 and 8250 is 22662750.

LCM(8241,8250) = 22662750

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Least Common Multiple of 8241 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 8241 and 8250, than apply into the LCM equation.

GCF(8241,8250) = 3
LCM(8241,8250) = ( 8241 × 8250) / 3
LCM(8241,8250) = 67988250 / 3
LCM(8241,8250) = 22662750

Least Common Multiple (LCM) of 8241 and 8250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8241 and 8250. First we will calculate the prime factors of 8241 and 8250.

Prime Factorization of 8241

Prime factors of 8241 are 3, 41, 67. Prime factorization of 8241 in exponential form is:

8241 = 31 × 411 × 671

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 8241 and 8250.

LCM(8241,8250) = 31 × 411 × 671 × 21 × 53 × 111
LCM(8241,8250) = 22662750