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What is the Least Common Multiple of 4040 and 4057?

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 4040 and 4057 is 16390280.

LCM(4040,4057) = 16390280

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Least Common Multiple of 4040 and 4057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4040 and 4057, than apply into the LCM equation.

GCF(4040,4057) = 1
LCM(4040,4057) = ( 4040 × 4057) / 1
LCM(4040,4057) = 16390280 / 1
LCM(4040,4057) = 16390280

Least Common Multiple (LCM) of 4040 and 4057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4040 and 4057. First we will calculate the prime factors of 4040 and 4057.

Prime Factorization of 4040

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

4040 = 23 × 51 × 1011

Prime Factorization of 4057

Prime factors of 4057 are 4057. Prime factorization of 4057 in exponential form is:

4057 = 40571

Now multiplying the highest exponent prime factors to calculate the LCM of 4040 and 4057.

LCM(4040,4057) = 23 × 51 × 1011 × 40571
LCM(4040,4057) = 16390280