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What is the Least Common Multiple of 66245 and 66250?

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 66245 and 66250 is 877746250.

LCM(66245,66250) = 877746250

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Least Common Multiple of 66245 and 66250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66245 and 66250, than apply into the LCM equation.

GCF(66245,66250) = 5
LCM(66245,66250) = ( 66245 × 66250) / 5
LCM(66245,66250) = 4388731250 / 5
LCM(66245,66250) = 877746250

Least Common Multiple (LCM) of 66245 and 66250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66245 and 66250. First we will calculate the prime factors of 66245 and 66250.

Prime Factorization of 66245

Prime factors of 66245 are 5, 13249. Prime factorization of 66245 in exponential form is:

66245 = 51 × 132491

Prime Factorization of 66250

Prime factors of 66250 are 2, 5, 53. Prime factorization of 66250 in exponential form is:

66250 = 21 × 54 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 66245 and 66250.

LCM(66245,66250) = 54 × 132491 × 21 × 531
LCM(66245,66250) = 877746250