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What is the Least Common Multiple of 51064 and 51073?

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 51064 and 51073 is 2607991672.

LCM(51064,51073) = 2607991672

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Least Common Multiple of 51064 and 51073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51064 and 51073, than apply into the LCM equation.

GCF(51064,51073) = 1
LCM(51064,51073) = ( 51064 × 51073) / 1
LCM(51064,51073) = 2607991672 / 1
LCM(51064,51073) = 2607991672

Least Common Multiple (LCM) of 51064 and 51073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51064 and 51073. First we will calculate the prime factors of 51064 and 51073.

Prime Factorization of 51064

Prime factors of 51064 are 2, 13, 491. Prime factorization of 51064 in exponential form is:

51064 = 23 × 131 × 4911

Prime Factorization of 51073

Prime factors of 51073 are 11, 4643. Prime factorization of 51073 in exponential form is:

51073 = 111 × 46431

Now multiplying the highest exponent prime factors to calculate the LCM of 51064 and 51073.

LCM(51064,51073) = 23 × 131 × 4911 × 111 × 46431
LCM(51064,51073) = 2607991672