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What is the Least Common Multiple of 68066 and 68072?

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 68066 and 68072 is 2316694376.

LCM(68066,68072) = 2316694376

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Least Common Multiple of 68066 and 68072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68066 and 68072, than apply into the LCM equation.

GCF(68066,68072) = 2
LCM(68066,68072) = ( 68066 × 68072) / 2
LCM(68066,68072) = 4633388752 / 2
LCM(68066,68072) = 2316694376

Least Common Multiple (LCM) of 68066 and 68072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68066 and 68072. First we will calculate the prime factors of 68066 and 68072.

Prime Factorization of 68066

Prime factors of 68066 are 2, 34033. Prime factorization of 68066 in exponential form is:

68066 = 21 × 340331

Prime Factorization of 68072

Prime factors of 68072 are 2, 67, 127. Prime factorization of 68072 in exponential form is:

68072 = 23 × 671 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 68066 and 68072.

LCM(68066,68072) = 23 × 340331 × 671 × 1271
LCM(68066,68072) = 2316694376