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What is the Least Common Multiple of 66779 and 66783?

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 66779 and 66783 is 4459701957.

LCM(66779,66783) = 4459701957

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Least Common Multiple of 66779 and 66783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66779 and 66783, than apply into the LCM equation.

GCF(66779,66783) = 1
LCM(66779,66783) = ( 66779 × 66783) / 1
LCM(66779,66783) = 4459701957 / 1
LCM(66779,66783) = 4459701957

Least Common Multiple (LCM) of 66779 and 66783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66779 and 66783. First we will calculate the prime factors of 66779 and 66783.

Prime Factorization of 66779

Prime factors of 66779 are 43, 1553. Prime factorization of 66779 in exponential form is:

66779 = 431 × 15531

Prime Factorization of 66783

Prime factors of 66783 are 3, 113, 197. Prime factorization of 66783 in exponential form is:

66783 = 31 × 1131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 66779 and 66783.

LCM(66779,66783) = 431 × 15531 × 31 × 1131 × 1971
LCM(66779,66783) = 4459701957