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What is the Least Common Multiple of 66605 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 66605 and 66610 is 887311810.

LCM(66605,66610) = 887311810

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Least Common Multiple of 66605 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 66605 and 66610, than apply into the LCM equation.

GCF(66605,66610) = 5
LCM(66605,66610) = ( 66605 × 66610) / 5
LCM(66605,66610) = 4436559050 / 5
LCM(66605,66610) = 887311810

Least Common Multiple (LCM) of 66605 and 66610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66605 and 66610. First we will calculate the prime factors of 66605 and 66610.

Prime Factorization of 66605

Prime factors of 66605 are 5, 7, 11, 173. Prime factorization of 66605 in exponential form is:

66605 = 51 × 71 × 111 × 1731

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 66605 and 66610.

LCM(66605,66610) = 51 × 71 × 111 × 1731 × 21 × 66611
LCM(66605,66610) = 887311810