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What is the Least Common Multiple of 68186 and 68202?

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 68202 is 2325210786.

LCM(68186,68202) = 2325210786

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Least Common Multiple of 68186 and 68202 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 68202, than apply into the LCM equation.

GCF(68186,68202) = 2
LCM(68186,68202) = ( 68186 × 68202) / 2
LCM(68186,68202) = 4650421572 / 2
LCM(68186,68202) = 2325210786

Least Common Multiple (LCM) of 68186 and 68202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68186 and 68202. First we will calculate the prime factors of 68186 and 68202.

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 68202

Prime factors of 68202 are 2, 3, 421. Prime factorization of 68202 in exponential form is:

68202 = 21 × 34 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 68186 and 68202.

LCM(68186,68202) = 21 × 1031 × 3311 × 34 × 4211
LCM(68186,68202) = 2325210786