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What is the Least Common Multiple of 68171 and 68185?

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 68171 and 68185 is 4648239635.

LCM(68171,68185) = 4648239635

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Least Common Multiple of 68171 and 68185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68171 and 68185, than apply into the LCM equation.

GCF(68171,68185) = 1
LCM(68171,68185) = ( 68171 × 68185) / 1
LCM(68171,68185) = 4648239635 / 1
LCM(68171,68185) = 4648239635

Least Common Multiple (LCM) of 68171 and 68185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68171 and 68185. First we will calculate the prime factors of 68171 and 68185.

Prime Factorization of 68171

Prime factors of 68171 are 68171. Prime factorization of 68171 in exponential form is:

68171 = 681711

Prime Factorization of 68185

Prime factors of 68185 are 5, 13, 1049. Prime factorization of 68185 in exponential form is:

68185 = 51 × 131 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 68171 and 68185.

LCM(68171,68185) = 681711 × 51 × 131 × 10491
LCM(68171,68185) = 4648239635