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What is the Least Common Multiple of 31064 and 31078?

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 31064 and 31078 is 482703496.

LCM(31064,31078) = 482703496

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Least Common Multiple of 31064 and 31078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31064 and 31078, than apply into the LCM equation.

GCF(31064,31078) = 2
LCM(31064,31078) = ( 31064 × 31078) / 2
LCM(31064,31078) = 965406992 / 2
LCM(31064,31078) = 482703496

Least Common Multiple (LCM) of 31064 and 31078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31064 and 31078. First we will calculate the prime factors of 31064 and 31078.

Prime Factorization of 31064

Prime factors of 31064 are 2, 11, 353. Prime factorization of 31064 in exponential form is:

31064 = 23 × 111 × 3531

Prime Factorization of 31078

Prime factors of 31078 are 2, 41, 379. Prime factorization of 31078 in exponential form is:

31078 = 21 × 411 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 31064 and 31078.

LCM(31064,31078) = 23 × 111 × 3531 × 411 × 3791
LCM(31064,31078) = 482703496