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What is the Least Common Multiple of 66522 and 66537?

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 66537 is 1475391438.

LCM(66522,66537) = 1475391438

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Least Common Multiple of 66522 and 66537 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 66537, than apply into the LCM equation.

GCF(66522,66537) = 3
LCM(66522,66537) = ( 66522 × 66537) / 3
LCM(66522,66537) = 4426174314 / 3
LCM(66522,66537) = 1475391438

Least Common Multiple (LCM) of 66522 and 66537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66522 and 66537. First we will calculate the prime factors of 66522 and 66537.

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 66537

Prime factors of 66537 are 3, 7393. Prime factorization of 66537 in exponential form is:

66537 = 32 × 73931

Now multiplying the highest exponent prime factors to calculate the LCM of 66522 and 66537.

LCM(66522,66537) = 21 × 32 × 110871 × 73931
LCM(66522,66537) = 1475391438