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What is the Least Common Multiple of 66935 and 66951?

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 66951 is 4481365185.

LCM(66935,66951) = 4481365185

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Least Common Multiple of 66935 and 66951 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 66951, than apply into the LCM equation.

GCF(66935,66951) = 1
LCM(66935,66951) = ( 66935 × 66951) / 1
LCM(66935,66951) = 4481365185 / 1
LCM(66935,66951) = 4481365185

Least Common Multiple (LCM) of 66935 and 66951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66935 and 66951. First we will calculate the prime factors of 66935 and 66951.

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 66951

Prime factors of 66951 are 3, 43, 173. Prime factorization of 66951 in exponential form is:

66951 = 32 × 431 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 66935 and 66951.

LCM(66935,66951) = 51 × 111 × 12171 × 32 × 431 × 1731
LCM(66935,66951) = 4481365185