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What is the Least Common Multiple of 4029 and 4040?

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 4029 and 4040 is 16277160.

LCM(4029,4040) = 16277160

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Least Common Multiple of 4029 and 4040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4029 and 4040, than apply into the LCM equation.

GCF(4029,4040) = 1
LCM(4029,4040) = ( 4029 × 4040) / 1
LCM(4029,4040) = 16277160 / 1
LCM(4029,4040) = 16277160

Least Common Multiple (LCM) of 4029 and 4040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4029 and 4040. First we will calculate the prime factors of 4029 and 4040.

Prime Factorization of 4029

Prime factors of 4029 are 3, 17, 79. Prime factorization of 4029 in exponential form is:

4029 = 31 × 171 × 791

Prime Factorization of 4040

Prime factors of 4040 are 2, 5, 101. Prime factorization of 4040 in exponential form is:

4040 = 23 × 51 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4029 and 4040.

LCM(4029,4040) = 31 × 171 × 791 × 23 × 51 × 1011
LCM(4029,4040) = 16277160