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What is the Least Common Multiple of 66910 and 66918?

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 66910 and 66918 is 2238741690.

LCM(66910,66918) = 2238741690

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Least Common Multiple of 66910 and 66918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66910 and 66918, than apply into the LCM equation.

GCF(66910,66918) = 2
LCM(66910,66918) = ( 66910 × 66918) / 2
LCM(66910,66918) = 4477483380 / 2
LCM(66910,66918) = 2238741690

Least Common Multiple (LCM) of 66910 and 66918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66910 and 66918. First we will calculate the prime factors of 66910 and 66918.

Prime Factorization of 66910

Prime factors of 66910 are 2, 5, 6691. Prime factorization of 66910 in exponential form is:

66910 = 21 × 51 × 66911

Prime Factorization of 66918

Prime factors of 66918 are 2, 3, 19, 587. Prime factorization of 66918 in exponential form is:

66918 = 21 × 31 × 191 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 66910 and 66918.

LCM(66910,66918) = 21 × 51 × 66911 × 31 × 191 × 5871
LCM(66910,66918) = 2238741690