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What is the Least Common Multiple of 40262 and 40281?

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 40262 and 40281 is 1621793622.

LCM(40262,40281) = 1621793622

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Least Common Multiple of 40262 and 40281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40262 and 40281, than apply into the LCM equation.

GCF(40262,40281) = 1
LCM(40262,40281) = ( 40262 × 40281) / 1
LCM(40262,40281) = 1621793622 / 1
LCM(40262,40281) = 1621793622

Least Common Multiple (LCM) of 40262 and 40281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40262 and 40281. First we will calculate the prime factors of 40262 and 40281.

Prime Factorization of 40262

Prime factors of 40262 are 2, 41, 491. Prime factorization of 40262 in exponential form is:

40262 = 21 × 411 × 4911

Prime Factorization of 40281

Prime factors of 40281 are 3, 29, 463. Prime factorization of 40281 in exponential form is:

40281 = 31 × 291 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 40262 and 40281.

LCM(40262,40281) = 21 × 411 × 4911 × 31 × 291 × 4631
LCM(40262,40281) = 1621793622