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What is the Least Common Multiple of 68187 and 68203?

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 68187 and 68203 is 4650557961.

LCM(68187,68203) = 4650557961

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Least Common Multiple of 68187 and 68203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68187 and 68203, than apply into the LCM equation.

GCF(68187,68203) = 1
LCM(68187,68203) = ( 68187 × 68203) / 1
LCM(68187,68203) = 4650557961 / 1
LCM(68187,68203) = 4650557961

Least Common Multiple (LCM) of 68187 and 68203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68187 and 68203. First we will calculate the prime factors of 68187 and 68203.

Prime Factorization of 68187

Prime factors of 68187 are 3, 7, 17, 191. Prime factorization of 68187 in exponential form is:

68187 = 31 × 71 × 171 × 1911

Prime Factorization of 68203

Prime factors of 68203 are 241, 283. Prime factorization of 68203 in exponential form is:

68203 = 2411 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 68187 and 68203.

LCM(68187,68203) = 31 × 71 × 171 × 1911 × 2411 × 2831
LCM(68187,68203) = 4650557961