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What is the Least Common Multiple of 66790 and 66796?

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 66790 and 66796 is 2230652420.

LCM(66790,66796) = 2230652420

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Least Common Multiple of 66790 and 66796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66790 and 66796, than apply into the LCM equation.

GCF(66790,66796) = 2
LCM(66790,66796) = ( 66790 × 66796) / 2
LCM(66790,66796) = 4461304840 / 2
LCM(66790,66796) = 2230652420

Least Common Multiple (LCM) of 66790 and 66796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66790 and 66796. First we will calculate the prime factors of 66790 and 66796.

Prime Factorization of 66790

Prime factors of 66790 are 2, 5, 6679. Prime factorization of 66790 in exponential form is:

66790 = 21 × 51 × 66791

Prime Factorization of 66796

Prime factors of 66796 are 2, 16699. Prime factorization of 66796 in exponential form is:

66796 = 22 × 166991

Now multiplying the highest exponent prime factors to calculate the LCM of 66790 and 66796.

LCM(66790,66796) = 22 × 51 × 66791 × 166991
LCM(66790,66796) = 2230652420