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What is the Least Common Multiple of 66647 and 66654?

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 66647 and 66654 is 634612734.

LCM(66647,66654) = 634612734

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Least Common Multiple of 66647 and 66654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66647 and 66654, than apply into the LCM equation.

GCF(66647,66654) = 7
LCM(66647,66654) = ( 66647 × 66654) / 7
LCM(66647,66654) = 4442289138 / 7
LCM(66647,66654) = 634612734

Least Common Multiple (LCM) of 66647 and 66654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66647 and 66654. First we will calculate the prime factors of 66647 and 66654.

Prime Factorization of 66647

Prime factors of 66647 are 7, 9521. Prime factorization of 66647 in exponential form is:

66647 = 71 × 95211

Prime Factorization of 66654

Prime factors of 66654 are 2, 3, 7, 23. Prime factorization of 66654 in exponential form is:

66654 = 21 × 32 × 71 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 66647 and 66654.

LCM(66647,66654) = 71 × 95211 × 21 × 32 × 232
LCM(66647,66654) = 634612734