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What is the Least Common Multiple of 4262 and 4273?

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 4262 and 4273 is 18211526.

LCM(4262,4273) = 18211526

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Least Common Multiple of 4262 and 4273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4262 and 4273, than apply into the LCM equation.

GCF(4262,4273) = 1
LCM(4262,4273) = ( 4262 × 4273) / 1
LCM(4262,4273) = 18211526 / 1
LCM(4262,4273) = 18211526

Least Common Multiple (LCM) of 4262 and 4273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4262 and 4273. First we will calculate the prime factors of 4262 and 4273.

Prime Factorization of 4262

Prime factors of 4262 are 2, 2131. Prime factorization of 4262 in exponential form is:

4262 = 21 × 21311

Prime Factorization of 4273

Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:

4273 = 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 4262 and 4273.

LCM(4262,4273) = 21 × 21311 × 42731
LCM(4262,4273) = 18211526