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What is the Least Common Multiple of 4050 and 4058?

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 4050 and 4058 is 8217450.

LCM(4050,4058) = 8217450

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Least Common Multiple of 4050 and 4058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4050 and 4058, than apply into the LCM equation.

GCF(4050,4058) = 2
LCM(4050,4058) = ( 4050 × 4058) / 2
LCM(4050,4058) = 16434900 / 2
LCM(4050,4058) = 8217450

Least Common Multiple (LCM) of 4050 and 4058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4050 and 4058. First we will calculate the prime factors of 4050 and 4058.

Prime Factorization of 4050

Prime factors of 4050 are 2, 3, 5. Prime factorization of 4050 in exponential form is:

4050 = 21 × 34 × 52

Prime Factorization of 4058

Prime factors of 4058 are 2, 2029. Prime factorization of 4058 in exponential form is:

4058 = 21 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 4050 and 4058.

LCM(4050,4058) = 21 × 34 × 52 × 20291
LCM(4050,4058) = 8217450