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What is the Least Common Multiple of 68062 and 68068?

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 68062 and 68068 is 2316422108.

LCM(68062,68068) = 2316422108

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Least Common Multiple of 68062 and 68068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68062 and 68068, than apply into the LCM equation.

GCF(68062,68068) = 2
LCM(68062,68068) = ( 68062 × 68068) / 2
LCM(68062,68068) = 4632844216 / 2
LCM(68062,68068) = 2316422108

Least Common Multiple (LCM) of 68062 and 68068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68062 and 68068. First we will calculate the prime factors of 68062 and 68068.

Prime Factorization of 68062

Prime factors of 68062 are 2, 34031. Prime factorization of 68062 in exponential form is:

68062 = 21 × 340311

Prime Factorization of 68068

Prime factors of 68068 are 2, 7, 11, 13, 17. Prime factorization of 68068 in exponential form is:

68068 = 22 × 71 × 111 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 68062 and 68068.

LCM(68062,68068) = 22 × 340311 × 71 × 111 × 131 × 171
LCM(68062,68068) = 2316422108