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What is the Least Common Multiple of 64222 and 64226?

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 64222 and 64226 is 2062361086.

LCM(64222,64226) = 2062361086

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Least Common Multiple of 64222 and 64226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64222 and 64226, than apply into the LCM equation.

GCF(64222,64226) = 2
LCM(64222,64226) = ( 64222 × 64226) / 2
LCM(64222,64226) = 4124722172 / 2
LCM(64222,64226) = 2062361086

Least Common Multiple (LCM) of 64222 and 64226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64222 and 64226. First we will calculate the prime factors of 64222 and 64226.

Prime Factorization of 64222

Prime factors of 64222 are 2, 163, 197. Prime factorization of 64222 in exponential form is:

64222 = 21 × 1631 × 1971

Prime Factorization of 64226

Prime factors of 64226 are 2, 17, 1889. Prime factorization of 64226 in exponential form is:

64226 = 21 × 171 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 64222 and 64226.

LCM(64222,64226) = 21 × 1631 × 1971 × 171 × 18891
LCM(64222,64226) = 2062361086