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What is the Least Common Multiple of 66959 and 66964?

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 66959 and 66964 is 4483842476.

LCM(66959,66964) = 4483842476

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Least Common Multiple of 66959 and 66964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66959 and 66964, than apply into the LCM equation.

GCF(66959,66964) = 1
LCM(66959,66964) = ( 66959 × 66964) / 1
LCM(66959,66964) = 4483842476 / 1
LCM(66959,66964) = 4483842476

Least Common Multiple (LCM) of 66959 and 66964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66959 and 66964. First we will calculate the prime factors of 66959 and 66964.

Prime Factorization of 66959

Prime factors of 66959 are 66959. Prime factorization of 66959 in exponential form is:

66959 = 669591

Prime Factorization of 66964

Prime factors of 66964 are 2, 16741. Prime factorization of 66964 in exponential form is:

66964 = 22 × 167411

Now multiplying the highest exponent prime factors to calculate the LCM of 66959 and 66964.

LCM(66959,66964) = 669591 × 22 × 167411
LCM(66959,66964) = 4483842476