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What is the Least Common Multiple of 66969 and 66984?

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 66984 is 1495283832.

LCM(66969,66984) = 1495283832

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Least Common Multiple of 66969 and 66984 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 66984, than apply into the LCM equation.

GCF(66969,66984) = 3
LCM(66969,66984) = ( 66969 × 66984) / 3
LCM(66969,66984) = 4485851496 / 3
LCM(66969,66984) = 1495283832

Least Common Multiple (LCM) of 66969 and 66984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66969 and 66984. First we will calculate the prime factors of 66969 and 66984.

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 66984

Prime factors of 66984 are 2, 3, 2791. Prime factorization of 66984 in exponential form is:

66984 = 23 × 31 × 27911

Now multiplying the highest exponent prime factors to calculate the LCM of 66969 and 66984.

LCM(66969,66984) = 32 × 71 × 10631 × 23 × 27911
LCM(66969,66984) = 1495283832