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What is the Least Common Multiple of 66890 and 66901?

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 66890 and 66901 is 4475007890.

LCM(66890,66901) = 4475007890

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Least Common Multiple of 66890 and 66901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66890 and 66901, than apply into the LCM equation.

GCF(66890,66901) = 1
LCM(66890,66901) = ( 66890 × 66901) / 1
LCM(66890,66901) = 4475007890 / 1
LCM(66890,66901) = 4475007890

Least Common Multiple (LCM) of 66890 and 66901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66890 and 66901. First we will calculate the prime factors of 66890 and 66901.

Prime Factorization of 66890

Prime factors of 66890 are 2, 5, 6689. Prime factorization of 66890 in exponential form is:

66890 = 21 × 51 × 66891

Prime Factorization of 66901

Prime factors of 66901 are 149, 449. Prime factorization of 66901 in exponential form is:

66901 = 1491 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 66890 and 66901.

LCM(66890,66901) = 21 × 51 × 66891 × 1491 × 4491
LCM(66890,66901) = 4475007890