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What is the Least Common Multiple of 66730 and 66738?

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 66730 and 66738 is 2226713370.

LCM(66730,66738) = 2226713370

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Least Common Multiple of 66730 and 66738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66730 and 66738, than apply into the LCM equation.

GCF(66730,66738) = 2
LCM(66730,66738) = ( 66730 × 66738) / 2
LCM(66730,66738) = 4453426740 / 2
LCM(66730,66738) = 2226713370

Least Common Multiple (LCM) of 66730 and 66738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66730 and 66738. First we will calculate the prime factors of 66730 and 66738.

Prime Factorization of 66730

Prime factors of 66730 are 2, 5, 6673. Prime factorization of 66730 in exponential form is:

66730 = 21 × 51 × 66731

Prime Factorization of 66738

Prime factors of 66738 are 2, 3, 7, 227. Prime factorization of 66738 in exponential form is:

66738 = 21 × 31 × 72 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 66730 and 66738.

LCM(66730,66738) = 21 × 51 × 66731 × 31 × 72 × 2271
LCM(66730,66738) = 2226713370