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What is the Least Common Multiple of 66110 and 66122?

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 66110 and 66122 is 2185662710.

LCM(66110,66122) = 2185662710

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Least Common Multiple of 66110 and 66122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66110 and 66122, than apply into the LCM equation.

GCF(66110,66122) = 2
LCM(66110,66122) = ( 66110 × 66122) / 2
LCM(66110,66122) = 4371325420 / 2
LCM(66110,66122) = 2185662710

Least Common Multiple (LCM) of 66110 and 66122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66110 and 66122. First we will calculate the prime factors of 66110 and 66122.

Prime Factorization of 66110

Prime factors of 66110 are 2, 5, 11, 601. Prime factorization of 66110 in exponential form is:

66110 = 21 × 51 × 111 × 6011

Prime Factorization of 66122

Prime factors of 66122 are 2, 7, 4723. Prime factorization of 66122 in exponential form is:

66122 = 21 × 71 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 66110 and 66122.

LCM(66110,66122) = 21 × 51 × 111 × 6011 × 71 × 47231
LCM(66110,66122) = 2185662710