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What is the Least Common Multiple of 66231 and 66251?

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 66231 and 66251 is 4387869981.

LCM(66231,66251) = 4387869981

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Least Common Multiple of 66231 and 66251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66231 and 66251, than apply into the LCM equation.

GCF(66231,66251) = 1
LCM(66231,66251) = ( 66231 × 66251) / 1
LCM(66231,66251) = 4387869981 / 1
LCM(66231,66251) = 4387869981

Least Common Multiple (LCM) of 66231 and 66251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66231 and 66251. First we will calculate the prime factors of 66231 and 66251.

Prime Factorization of 66231

Prime factors of 66231 are 3, 11, 223. Prime factorization of 66231 in exponential form is:

66231 = 33 × 111 × 2231

Prime Factorization of 66251

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

66251 = 971 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 66231 and 66251.

LCM(66231,66251) = 33 × 111 × 2231 × 971 × 6831
LCM(66231,66251) = 4387869981