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What is the Least Common Multiple of 68223 and 68228?

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 68223 and 68228 is 4654718844.

LCM(68223,68228) = 4654718844

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Least Common Multiple of 68223 and 68228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68223 and 68228, than apply into the LCM equation.

GCF(68223,68228) = 1
LCM(68223,68228) = ( 68223 × 68228) / 1
LCM(68223,68228) = 4654718844 / 1
LCM(68223,68228) = 4654718844

Least Common Multiple (LCM) of 68223 and 68228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68223 and 68228. First we will calculate the prime factors of 68223 and 68228.

Prime Factorization of 68223

Prime factors of 68223 are 3, 22741. Prime factorization of 68223 in exponential form is:

68223 = 31 × 227411

Prime Factorization of 68228

Prime factors of 68228 are 2, 37, 461. Prime factorization of 68228 in exponential form is:

68228 = 22 × 371 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 68223 and 68228.

LCM(68223,68228) = 31 × 227411 × 22 × 371 × 4611
LCM(68223,68228) = 4654718844