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What is the Least Common Multiple of 66251 and 66266?

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 66251 and 66266 is 4390188766.

LCM(66251,66266) = 4390188766

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Least Common Multiple of 66251 and 66266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66251 and 66266, than apply into the LCM equation.

GCF(66251,66266) = 1
LCM(66251,66266) = ( 66251 × 66266) / 1
LCM(66251,66266) = 4390188766 / 1
LCM(66251,66266) = 4390188766

Least Common Multiple (LCM) of 66251 and 66266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66251 and 66266. First we will calculate the prime factors of 66251 and 66266.

Prime Factorization of 66251

Prime factors of 66251 are 97, 683. Prime factorization of 66251 in exponential form is:

66251 = 971 × 6831

Prime Factorization of 66266

Prime factors of 66266 are 2, 17, 1949. Prime factorization of 66266 in exponential form is:

66266 = 21 × 171 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 66251 and 66266.

LCM(66251,66266) = 971 × 6831 × 21 × 171 × 19491
LCM(66251,66266) = 4390188766