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What is the Least Common Multiple of 66632 and 66640?

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 66632 and 66640 is 555044560.

LCM(66632,66640) = 555044560

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Least Common Multiple of 66632 and 66640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66632 and 66640, than apply into the LCM equation.

GCF(66632,66640) = 8
LCM(66632,66640) = ( 66632 × 66640) / 8
LCM(66632,66640) = 4440356480 / 8
LCM(66632,66640) = 555044560

Least Common Multiple (LCM) of 66632 and 66640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66632 and 66640. First we will calculate the prime factors of 66632 and 66640.

Prime Factorization of 66632

Prime factors of 66632 are 2, 8329. Prime factorization of 66632 in exponential form is:

66632 = 23 × 83291

Prime Factorization of 66640

Prime factors of 66640 are 2, 5, 7, 17. Prime factorization of 66640 in exponential form is:

66640 = 24 × 51 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 66632 and 66640.

LCM(66632,66640) = 24 × 83291 × 51 × 72 × 171
LCM(66632,66640) = 555044560