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What is the Least Common Multiple of 66837 and 66855?

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 66837 and 66855 is 1489462545.

LCM(66837,66855) = 1489462545

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Least Common Multiple of 66837 and 66855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66837 and 66855, than apply into the LCM equation.

GCF(66837,66855) = 3
LCM(66837,66855) = ( 66837 × 66855) / 3
LCM(66837,66855) = 4468387635 / 3
LCM(66837,66855) = 1489462545

Least Common Multiple (LCM) of 66837 and 66855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66837 and 66855. First we will calculate the prime factors of 66837 and 66855.

Prime Factorization of 66837

Prime factors of 66837 are 3, 22279. Prime factorization of 66837 in exponential form is:

66837 = 31 × 222791

Prime Factorization of 66855

Prime factors of 66855 are 3, 5, 4457. Prime factorization of 66855 in exponential form is:

66855 = 31 × 51 × 44571

Now multiplying the highest exponent prime factors to calculate the LCM of 66837 and 66855.

LCM(66837,66855) = 31 × 222791 × 51 × 44571
LCM(66837,66855) = 1489462545