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What is the Least Common Multiple of 64216 and 64228?

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 64216 and 64228 is 1031116312.

LCM(64216,64228) = 1031116312

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Least Common Multiple of 64216 and 64228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64216 and 64228, than apply into the LCM equation.

GCF(64216,64228) = 4
LCM(64216,64228) = ( 64216 × 64228) / 4
LCM(64216,64228) = 4124465248 / 4
LCM(64216,64228) = 1031116312

Least Common Multiple (LCM) of 64216 and 64228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64216 and 64228. First we will calculate the prime factors of 64216 and 64228.

Prime Factorization of 64216

Prime factors of 64216 are 2, 23, 349. Prime factorization of 64216 in exponential form is:

64216 = 23 × 231 × 3491

Prime Factorization of 64228

Prime factors of 64228 are 2, 16057. Prime factorization of 64228 in exponential form is:

64228 = 22 × 160571

Now multiplying the highest exponent prime factors to calculate the LCM of 64216 and 64228.

LCM(64216,64228) = 23 × 231 × 3491 × 160571
LCM(64216,64228) = 1031116312