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What is the Least Common Multiple of 66431 and 66436?

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 66431 and 66436 is 4413409916.

LCM(66431,66436) = 4413409916

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Least Common Multiple of 66431 and 66436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66431 and 66436, than apply into the LCM equation.

GCF(66431,66436) = 1
LCM(66431,66436) = ( 66431 × 66436) / 1
LCM(66431,66436) = 4413409916 / 1
LCM(66431,66436) = 4413409916

Least Common Multiple (LCM) of 66431 and 66436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66431 and 66436. First we will calculate the prime factors of 66431 and 66436.

Prime Factorization of 66431

Prime factors of 66431 are 66431. Prime factorization of 66431 in exponential form is:

66431 = 664311

Prime Factorization of 66436

Prime factors of 66436 are 2, 17, 977. Prime factorization of 66436 in exponential form is:

66436 = 22 × 171 × 9771

Now multiplying the highest exponent prime factors to calculate the LCM of 66431 and 66436.

LCM(66431,66436) = 664311 × 22 × 171 × 9771
LCM(66431,66436) = 4413409916