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What is the Least Common Multiple of 66693 and 66713?

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 66693 and 66713 is 4449290109.

LCM(66693,66713) = 4449290109

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Least Common Multiple of 66693 and 66713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66693 and 66713, than apply into the LCM equation.

GCF(66693,66713) = 1
LCM(66693,66713) = ( 66693 × 66713) / 1
LCM(66693,66713) = 4449290109 / 1
LCM(66693,66713) = 4449290109

Least Common Multiple (LCM) of 66693 and 66713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66693 and 66713. First we will calculate the prime factors of 66693 and 66713.

Prime Factorization of 66693

Prime factors of 66693 are 3, 11, 43, 47. Prime factorization of 66693 in exponential form is:

66693 = 31 × 111 × 431 × 471

Prime Factorization of 66713

Prime factors of 66713 are 66713. Prime factorization of 66713 in exponential form is:

66713 = 667131

Now multiplying the highest exponent prime factors to calculate the LCM of 66693 and 66713.

LCM(66693,66713) = 31 × 111 × 431 × 471 × 667131
LCM(66693,66713) = 4449290109