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What is the Least Common Multiple of 66935 and 66939?

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 66935 and 66939 is 4480561965.

LCM(66935,66939) = 4480561965

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Least Common Multiple of 66935 and 66939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66935 and 66939, than apply into the LCM equation.

GCF(66935,66939) = 1
LCM(66935,66939) = ( 66935 × 66939) / 1
LCM(66935,66939) = 4480561965 / 1
LCM(66935,66939) = 4480561965

Least Common Multiple (LCM) of 66935 and 66939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66935 and 66939. First we will calculate the prime factors of 66935 and 66939.

Prime Factorization of 66935

Prime factors of 66935 are 5, 11, 1217. Prime factorization of 66935 in exponential form is:

66935 = 51 × 111 × 12171

Prime Factorization of 66939

Prime factors of 66939 are 3, 53, 421. Prime factorization of 66939 in exponential form is:

66939 = 31 × 531 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 66935 and 66939.

LCM(66935,66939) = 51 × 111 × 12171 × 31 × 531 × 4211
LCM(66935,66939) = 4480561965