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What is the Least Common Multiple of 66210 and 66220?

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 66210 and 66220 is 438442620.

LCM(66210,66220) = 438442620

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Least Common Multiple of 66210 and 66220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66210 and 66220, than apply into the LCM equation.

GCF(66210,66220) = 10
LCM(66210,66220) = ( 66210 × 66220) / 10
LCM(66210,66220) = 4384426200 / 10
LCM(66210,66220) = 438442620

Least Common Multiple (LCM) of 66210 and 66220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66210 and 66220. First we will calculate the prime factors of 66210 and 66220.

Prime Factorization of 66210

Prime factors of 66210 are 2, 3, 5, 2207. Prime factorization of 66210 in exponential form is:

66210 = 21 × 31 × 51 × 22071

Prime Factorization of 66220

Prime factors of 66220 are 2, 5, 7, 11, 43. Prime factorization of 66220 in exponential form is:

66220 = 22 × 51 × 71 × 111 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 66210 and 66220.

LCM(66210,66220) = 22 × 31 × 51 × 22071 × 71 × 111 × 431
LCM(66210,66220) = 438442620