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What is the Least Common Multiple of 68268 and 68272?

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 68268 and 68272 is 1165198224.

LCM(68268,68272) = 1165198224

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Least Common Multiple of 68268 and 68272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68268 and 68272, than apply into the LCM equation.

GCF(68268,68272) = 4
LCM(68268,68272) = ( 68268 × 68272) / 4
LCM(68268,68272) = 4660792896 / 4
LCM(68268,68272) = 1165198224

Least Common Multiple (LCM) of 68268 and 68272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68268 and 68272. First we will calculate the prime factors of 68268 and 68272.

Prime Factorization of 68268

Prime factors of 68268 are 2, 3, 5689. Prime factorization of 68268 in exponential form is:

68268 = 22 × 31 × 56891

Prime Factorization of 68272

Prime factors of 68272 are 2, 17, 251. Prime factorization of 68272 in exponential form is:

68272 = 24 × 171 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 68268 and 68272.

LCM(68268,68272) = 24 × 31 × 56891 × 171 × 2511
LCM(68268,68272) = 1165198224