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What is the Least Common Multiple of 66340 and 66350?

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 66340 and 66350 is 440165900.

LCM(66340,66350) = 440165900

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Least Common Multiple of 66340 and 66350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66340 and 66350, than apply into the LCM equation.

GCF(66340,66350) = 10
LCM(66340,66350) = ( 66340 × 66350) / 10
LCM(66340,66350) = 4401659000 / 10
LCM(66340,66350) = 440165900

Least Common Multiple (LCM) of 66340 and 66350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66340 and 66350. First we will calculate the prime factors of 66340 and 66350.

Prime Factorization of 66340

Prime factors of 66340 are 2, 5, 31, 107. Prime factorization of 66340 in exponential form is:

66340 = 22 × 51 × 311 × 1071

Prime Factorization of 66350

Prime factors of 66350 are 2, 5, 1327. Prime factorization of 66350 in exponential form is:

66350 = 21 × 52 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 66340 and 66350.

LCM(66340,66350) = 22 × 52 × 311 × 1071 × 13271
LCM(66340,66350) = 440165900