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What is the Least Common Multiple of 66078 and 66082?

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 66078 and 66082 is 2183283198.

LCM(66078,66082) = 2183283198

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Least Common Multiple of 66078 and 66082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66078 and 66082, than apply into the LCM equation.

GCF(66078,66082) = 2
LCM(66078,66082) = ( 66078 × 66082) / 2
LCM(66078,66082) = 4366566396 / 2
LCM(66078,66082) = 2183283198

Least Common Multiple (LCM) of 66078 and 66082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66078 and 66082. First we will calculate the prime factors of 66078 and 66082.

Prime Factorization of 66078

Prime factors of 66078 are 2, 3, 3671. Prime factorization of 66078 in exponential form is:

66078 = 21 × 32 × 36711

Prime Factorization of 66082

Prime factors of 66082 are 2, 19, 37, 47. Prime factorization of 66082 in exponential form is:

66082 = 21 × 191 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 66078 and 66082.

LCM(66078,66082) = 21 × 32 × 36711 × 191 × 371 × 471
LCM(66078,66082) = 2183283198