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What is the Least Common Multiple of 66414 and 66433?

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 66414 and 66433 is 4412081262.

LCM(66414,66433) = 4412081262

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Least Common Multiple of 66414 and 66433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66414 and 66433, than apply into the LCM equation.

GCF(66414,66433) = 1
LCM(66414,66433) = ( 66414 × 66433) / 1
LCM(66414,66433) = 4412081262 / 1
LCM(66414,66433) = 4412081262

Least Common Multiple (LCM) of 66414 and 66433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66414 and 66433. First we will calculate the prime factors of 66414 and 66433.

Prime Factorization of 66414

Prime factors of 66414 are 2, 3, 11069. Prime factorization of 66414 in exponential form is:

66414 = 21 × 31 × 110691

Prime Factorization of 66433

Prime factors of 66433 are 31, 2143. Prime factorization of 66433 in exponential form is:

66433 = 311 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 66414 and 66433.

LCM(66414,66433) = 21 × 31 × 110691 × 311 × 21431
LCM(66414,66433) = 4412081262