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What is the Least Common Multiple of 66522 and 66532?

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 66532 is 2212920852.

LCM(66522,66532) = 2212920852

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Least Common Multiple of 66522 and 66532 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 66532, than apply into the LCM equation.

GCF(66522,66532) = 2
LCM(66522,66532) = ( 66522 × 66532) / 2
LCM(66522,66532) = 4425841704 / 2
LCM(66522,66532) = 2212920852

Least Common Multiple (LCM) of 66522 and 66532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66522 and 66532. First we will calculate the prime factors of 66522 and 66532.

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 66532

Prime factors of 66532 are 2, 16633. Prime factorization of 66532 in exponential form is:

66532 = 22 × 166331

Now multiplying the highest exponent prime factors to calculate the LCM of 66522 and 66532.

LCM(66522,66532) = 22 × 31 × 110871 × 166331
LCM(66522,66532) = 2212920852