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What is the Least Common Multiple of 28062 and 28078?

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 28062 and 28078 is 393962418.

LCM(28062,28078) = 393962418

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Least Common Multiple of 28062 and 28078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28062 and 28078, than apply into the LCM equation.

GCF(28062,28078) = 2
LCM(28062,28078) = ( 28062 × 28078) / 2
LCM(28062,28078) = 787924836 / 2
LCM(28062,28078) = 393962418

Least Common Multiple (LCM) of 28062 and 28078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28062 and 28078. First we will calculate the prime factors of 28062 and 28078.

Prime Factorization of 28062

Prime factors of 28062 are 2, 3, 1559. Prime factorization of 28062 in exponential form is:

28062 = 21 × 32 × 15591

Prime Factorization of 28078

Prime factors of 28078 are 2, 101, 139. Prime factorization of 28078 in exponential form is:

28078 = 21 × 1011 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 28062 and 28078.

LCM(28062,28078) = 21 × 32 × 15591 × 1011 × 1391
LCM(28062,28078) = 393962418