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What is the Least Common Multiple of 68233 and 68250?

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 68233 and 68250 is 4656902250.

LCM(68233,68250) = 4656902250

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Least Common Multiple of 68233 and 68250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68233 and 68250, than apply into the LCM equation.

GCF(68233,68250) = 1
LCM(68233,68250) = ( 68233 × 68250) / 1
LCM(68233,68250) = 4656902250 / 1
LCM(68233,68250) = 4656902250

Least Common Multiple (LCM) of 68233 and 68250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68233 and 68250. First we will calculate the prime factors of 68233 and 68250.

Prime Factorization of 68233

Prime factors of 68233 are 11, 6203. Prime factorization of 68233 in exponential form is:

68233 = 111 × 62031

Prime Factorization of 68250

Prime factors of 68250 are 2, 3, 5, 7, 13. Prime factorization of 68250 in exponential form is:

68250 = 21 × 31 × 53 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 68233 and 68250.

LCM(68233,68250) = 111 × 62031 × 21 × 31 × 53 × 71 × 131
LCM(68233,68250) = 4656902250