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What is the Least Common Multiple of 66733 and 66740?

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 66733 and 66740 is 4453760420.

LCM(66733,66740) = 4453760420

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Least Common Multiple of 66733 and 66740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66733 and 66740, than apply into the LCM equation.

GCF(66733,66740) = 1
LCM(66733,66740) = ( 66733 × 66740) / 1
LCM(66733,66740) = 4453760420 / 1
LCM(66733,66740) = 4453760420

Least Common Multiple (LCM) of 66733 and 66740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66733 and 66740. First we will calculate the prime factors of 66733 and 66740.

Prime Factorization of 66733

Prime factors of 66733 are 66733. Prime factorization of 66733 in exponential form is:

66733 = 667331

Prime Factorization of 66740

Prime factors of 66740 are 2, 5, 47, 71. Prime factorization of 66740 in exponential form is:

66740 = 22 × 51 × 471 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 66733 and 66740.

LCM(66733,66740) = 667331 × 22 × 51 × 471 × 711
LCM(66733,66740) = 4453760420