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What is the Least Common Multiple of 66522 and 66528?

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 66522 and 66528 is 737595936.

LCM(66522,66528) = 737595936

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Least Common Multiple of 66522 and 66528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66522 and 66528, than apply into the LCM equation.

GCF(66522,66528) = 6
LCM(66522,66528) = ( 66522 × 66528) / 6
LCM(66522,66528) = 4425575616 / 6
LCM(66522,66528) = 737595936

Least Common Multiple (LCM) of 66522 and 66528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66522 and 66528. First we will calculate the prime factors of 66522 and 66528.

Prime Factorization of 66522

Prime factors of 66522 are 2, 3, 11087. Prime factorization of 66522 in exponential form is:

66522 = 21 × 31 × 110871

Prime Factorization of 66528

Prime factors of 66528 are 2, 3, 7, 11. Prime factorization of 66528 in exponential form is:

66528 = 25 × 33 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 66522 and 66528.

LCM(66522,66528) = 25 × 33 × 110871 × 71 × 111
LCM(66522,66528) = 737595936