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What is the Least Common Multiple of 4060 and 4078?

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 4060 and 4078 is 8278340.

LCM(4060,4078) = 8278340

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Least Common Multiple of 4060 and 4078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4060 and 4078, than apply into the LCM equation.

GCF(4060,4078) = 2
LCM(4060,4078) = ( 4060 × 4078) / 2
LCM(4060,4078) = 16556680 / 2
LCM(4060,4078) = 8278340

Least Common Multiple (LCM) of 4060 and 4078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4060 and 4078. First we will calculate the prime factors of 4060 and 4078.

Prime Factorization of 4060

Prime factors of 4060 are 2, 5, 7, 29. Prime factorization of 4060 in exponential form is:

4060 = 22 × 51 × 71 × 291

Prime Factorization of 4078

Prime factors of 4078 are 2, 2039. Prime factorization of 4078 in exponential form is:

4078 = 21 × 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 4060 and 4078.

LCM(4060,4078) = 22 × 51 × 71 × 291 × 20391
LCM(4060,4078) = 8278340