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What is the Least Common Multiple of 66969 and 66979?

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 66969 and 66979 is 4485516651.

LCM(66969,66979) = 4485516651

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Least Common Multiple of 66969 and 66979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66969 and 66979, than apply into the LCM equation.

GCF(66969,66979) = 1
LCM(66969,66979) = ( 66969 × 66979) / 1
LCM(66969,66979) = 4485516651 / 1
LCM(66969,66979) = 4485516651

Least Common Multiple (LCM) of 66969 and 66979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66969 and 66979. First we will calculate the prime factors of 66969 and 66979.

Prime Factorization of 66969

Prime factors of 66969 are 3, 7, 1063. Prime factorization of 66969 in exponential form is:

66969 = 32 × 71 × 10631

Prime Factorization of 66979

Prime factors of 66979 are 11, 6089. Prime factorization of 66979 in exponential form is:

66979 = 111 × 60891

Now multiplying the highest exponent prime factors to calculate the LCM of 66969 and 66979.

LCM(66969,66979) = 32 × 71 × 10631 × 111 × 60891
LCM(66969,66979) = 4485516651