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What is the Least Common Multiple of 68186 and 68206?

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 68186 and 68206 is 2325347158.

LCM(68186,68206) = 2325347158

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Least Common Multiple of 68186 and 68206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68186 and 68206, than apply into the LCM equation.

GCF(68186,68206) = 2
LCM(68186,68206) = ( 68186 × 68206) / 2
LCM(68186,68206) = 4650694316 / 2
LCM(68186,68206) = 2325347158

Least Common Multiple (LCM) of 68186 and 68206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68186 and 68206. First we will calculate the prime factors of 68186 and 68206.

Prime Factorization of 68186

Prime factors of 68186 are 2, 103, 331. Prime factorization of 68186 in exponential form is:

68186 = 21 × 1031 × 3311

Prime Factorization of 68206

Prime factors of 68206 are 2, 67, 509. Prime factorization of 68206 in exponential form is:

68206 = 21 × 671 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 68186 and 68206.

LCM(68186,68206) = 21 × 1031 × 3311 × 671 × 5091
LCM(68186,68206) = 2325347158