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What is the Least Common Multiple of 4042 and 4050?

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 4042 and 4050 is 8185050.

LCM(4042,4050) = 8185050

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Least Common Multiple of 4042 and 4050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4042 and 4050, than apply into the LCM equation.

GCF(4042,4050) = 2
LCM(4042,4050) = ( 4042 × 4050) / 2
LCM(4042,4050) = 16370100 / 2
LCM(4042,4050) = 8185050

Least Common Multiple (LCM) of 4042 and 4050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4042 and 4050. First we will calculate the prime factors of 4042 and 4050.

Prime Factorization of 4042

Prime factors of 4042 are 2, 43, 47. Prime factorization of 4042 in exponential form is:

4042 = 21 × 431 × 471

Prime Factorization of 4050

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

4050 = 21 × 34 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 4042 and 4050.

LCM(4042,4050) = 21 × 431 × 471 × 34 × 52
LCM(4042,4050) = 8185050