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What is the Least Common Multiple of 66302 and 66310?

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 66302 and 66310 is 2198242810.

LCM(66302,66310) = 2198242810

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Least Common Multiple of 66302 and 66310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66302 and 66310, than apply into the LCM equation.

GCF(66302,66310) = 2
LCM(66302,66310) = ( 66302 × 66310) / 2
LCM(66302,66310) = 4396485620 / 2
LCM(66302,66310) = 2198242810

Least Common Multiple (LCM) of 66302 and 66310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66302 and 66310. First we will calculate the prime factors of 66302 and 66310.

Prime Factorization of 66302

Prime factors of 66302 are 2, 33151. Prime factorization of 66302 in exponential form is:

66302 = 21 × 331511

Prime Factorization of 66310

Prime factors of 66310 are 2, 5, 19, 349. Prime factorization of 66310 in exponential form is:

66310 = 21 × 51 × 191 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 66302 and 66310.

LCM(66302,66310) = 21 × 331511 × 51 × 191 × 3491
LCM(66302,66310) = 2198242810