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What is the Least Common Multiple of 66523 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 66523 and 66528 is 4425642144.

LCM(66523,66528) = 4425642144

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Least Common Multiple of 66523 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 66523 and 66528, than apply into the LCM equation.

GCF(66523,66528) = 1
LCM(66523,66528) = ( 66523 × 66528) / 1
LCM(66523,66528) = 4425642144 / 1
LCM(66523,66528) = 4425642144

Least Common Multiple (LCM) of 66523 and 66528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66523 and 66528. First we will calculate the prime factors of 66523 and 66528.

Prime Factorization of 66523

Prime factors of 66523 are 66523. Prime factorization of 66523 in exponential form is:

66523 = 665231

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 66523 and 66528.

LCM(66523,66528) = 665231 × 25 × 33 × 71 × 111
LCM(66523,66528) = 4425642144