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What is the Least Common Multiple of 78481 and 78488?

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 78481 and 78488 is 6159816728.

LCM(78481,78488) = 6159816728

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Least Common Multiple of 78481 and 78488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78481 and 78488, than apply into the LCM equation.

GCF(78481,78488) = 1
LCM(78481,78488) = ( 78481 × 78488) / 1
LCM(78481,78488) = 6159816728 / 1
LCM(78481,78488) = 6159816728

Least Common Multiple (LCM) of 78481 and 78488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78481 and 78488. First we will calculate the prime factors of 78481 and 78488.

Prime Factorization of 78481

Prime factors of 78481 are 13, 6037. Prime factorization of 78481 in exponential form is:

78481 = 131 × 60371

Prime Factorization of 78488

Prime factors of 78488 are 2, 9811. Prime factorization of 78488 in exponential form is:

78488 = 23 × 98111

Now multiplying the highest exponent prime factors to calculate the LCM of 78481 and 78488.

LCM(78481,78488) = 131 × 60371 × 23 × 98111
LCM(78481,78488) = 6159816728