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What is the Least Common Multiple of 66978 and 66994?

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 66978 and 66994 is 2243562066.

LCM(66978,66994) = 2243562066

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Least Common Multiple of 66978 and 66994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66978 and 66994, than apply into the LCM equation.

GCF(66978,66994) = 2
LCM(66978,66994) = ( 66978 × 66994) / 2
LCM(66978,66994) = 4487124132 / 2
LCM(66978,66994) = 2243562066

Least Common Multiple (LCM) of 66978 and 66994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66978 and 66994. First we will calculate the prime factors of 66978 and 66994.

Prime Factorization of 66978

Prime factors of 66978 are 2, 3, 61. Prime factorization of 66978 in exponential form is:

66978 = 21 × 32 × 612

Prime Factorization of 66994

Prime factors of 66994 are 2, 19, 41, 43. Prime factorization of 66994 in exponential form is:

66994 = 21 × 191 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 66978 and 66994.

LCM(66978,66994) = 21 × 32 × 612 × 191 × 411 × 431
LCM(66978,66994) = 2243562066