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What is the Least Common Multiple of 66742 and 66753?

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 66742 and 66753 is 4455228726.

LCM(66742,66753) = 4455228726

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Least Common Multiple of 66742 and 66753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66742 and 66753, than apply into the LCM equation.

GCF(66742,66753) = 1
LCM(66742,66753) = ( 66742 × 66753) / 1
LCM(66742,66753) = 4455228726 / 1
LCM(66742,66753) = 4455228726

Least Common Multiple (LCM) of 66742 and 66753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66742 and 66753. First we will calculate the prime factors of 66742 and 66753.

Prime Factorization of 66742

Prime factors of 66742 are 2, 13, 17, 151. Prime factorization of 66742 in exponential form is:

66742 = 21 × 131 × 171 × 1511

Prime Factorization of 66753

Prime factors of 66753 are 3, 7417. Prime factorization of 66753 in exponential form is:

66753 = 32 × 74171

Now multiplying the highest exponent prime factors to calculate the LCM of 66742 and 66753.

LCM(66742,66753) = 21 × 131 × 171 × 1511 × 32 × 74171
LCM(66742,66753) = 4455228726