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What is the Least Common Multiple of 66601 and 66610?

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 66601 and 66610 is 4436292610.

LCM(66601,66610) = 4436292610

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Least Common Multiple of 66601 and 66610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66601 and 66610, than apply into the LCM equation.

GCF(66601,66610) = 1
LCM(66601,66610) = ( 66601 × 66610) / 1
LCM(66601,66610) = 4436292610 / 1
LCM(66601,66610) = 4436292610

Least Common Multiple (LCM) of 66601 and 66610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66601 and 66610. First we will calculate the prime factors of 66601 and 66610.

Prime Factorization of 66601

Prime factors of 66601 are 66601. Prime factorization of 66601 in exponential form is:

66601 = 666011

Prime Factorization of 66610

Prime factors of 66610 are 2, 5, 6661. Prime factorization of 66610 in exponential form is:

66610 = 21 × 51 × 66611

Now multiplying the highest exponent prime factors to calculate the LCM of 66601 and 66610.

LCM(66601,66610) = 666011 × 21 × 51 × 66611
LCM(66601,66610) = 4436292610