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What is the Least Common Multiple of 64471 and 64478?

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 64471 and 64478 is 4156961138.

LCM(64471,64478) = 4156961138

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Least Common Multiple of 64471 and 64478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64471 and 64478, than apply into the LCM equation.

GCF(64471,64478) = 1
LCM(64471,64478) = ( 64471 × 64478) / 1
LCM(64471,64478) = 4156961138 / 1
LCM(64471,64478) = 4156961138

Least Common Multiple (LCM) of 64471 and 64478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64471 and 64478. First we will calculate the prime factors of 64471 and 64478.

Prime Factorization of 64471

Prime factors of 64471 are 11, 5861. Prime factorization of 64471 in exponential form is:

64471 = 111 × 58611

Prime Factorization of 64478

Prime factors of 64478 are 2, 103, 313. Prime factorization of 64478 in exponential form is:

64478 = 21 × 1031 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 64471 and 64478.

LCM(64471,64478) = 111 × 58611 × 21 × 1031 × 3131
LCM(64471,64478) = 4156961138