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What is the Least Common Multiple of 66598 and 66608?

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 66598 and 66608 is 2217979792.

LCM(66598,66608) = 2217979792

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Least Common Multiple of 66598 and 66608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66598 and 66608, than apply into the LCM equation.

GCF(66598,66608) = 2
LCM(66598,66608) = ( 66598 × 66608) / 2
LCM(66598,66608) = 4435959584 / 2
LCM(66598,66608) = 2217979792

Least Common Multiple (LCM) of 66598 and 66608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66598 and 66608. First we will calculate the prime factors of 66598 and 66608.

Prime Factorization of 66598

Prime factors of 66598 are 2, 7, 67, 71. Prime factorization of 66598 in exponential form is:

66598 = 21 × 71 × 671 × 711

Prime Factorization of 66608

Prime factors of 66608 are 2, 23, 181. Prime factorization of 66608 in exponential form is:

66608 = 24 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 66598 and 66608.

LCM(66598,66608) = 24 × 71 × 671 × 711 × 231 × 1811
LCM(66598,66608) = 2217979792