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What is the Least Common Multiple of 6603 and 6610?

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 6603 and 6610 is 43645830.

LCM(6603,6610) = 43645830

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Least Common Multiple of 6603 and 6610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6603 and 6610, than apply into the LCM equation.

GCF(6603,6610) = 1
LCM(6603,6610) = ( 6603 × 6610) / 1
LCM(6603,6610) = 43645830 / 1
LCM(6603,6610) = 43645830

Least Common Multiple (LCM) of 6603 and 6610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6610. First we will calculate the prime factors of 6603 and 6610.

Prime Factorization of 6603

Prime factors of 6603 are 3, 31, 71. Prime factorization of 6603 in exponential form is:

6603 = 31 × 311 × 711

Prime Factorization of 6610

Prime factors of 6610 are 2, 5, 661. Prime factorization of 6610 in exponential form is:

6610 = 21 × 51 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6610.

LCM(6603,6610) = 31 × 311 × 711 × 21 × 51 × 6611
LCM(6603,6610) = 43645830