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What is the Least Common Multiple of 68360 and 68373?

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 68360 and 68373 is 4673978280.

LCM(68360,68373) = 4673978280

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Least Common Multiple of 68360 and 68373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68360 and 68373, than apply into the LCM equation.

GCF(68360,68373) = 1
LCM(68360,68373) = ( 68360 × 68373) / 1
LCM(68360,68373) = 4673978280 / 1
LCM(68360,68373) = 4673978280

Least Common Multiple (LCM) of 68360 and 68373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68360 and 68373. First we will calculate the prime factors of 68360 and 68373.

Prime Factorization of 68360

Prime factors of 68360 are 2, 5, 1709. Prime factorization of 68360 in exponential form is:

68360 = 23 × 51 × 17091

Prime Factorization of 68373

Prime factors of 68373 are 3, 71, 107. Prime factorization of 68373 in exponential form is:

68373 = 32 × 711 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 68360 and 68373.

LCM(68360,68373) = 23 × 51 × 17091 × 32 × 711 × 1071
LCM(68360,68373) = 4673978280