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What is the Least Common Multiple of 40262 and 40266?

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 40266 is 810594846.

LCM(40262,40266) = 810594846

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Least Common Multiple of 40262 and 40266 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 40266, than apply into the LCM equation.

GCF(40262,40266) = 2
LCM(40262,40266) = ( 40262 × 40266) / 2
LCM(40262,40266) = 1621189692 / 2
LCM(40262,40266) = 810594846

Least Common Multiple (LCM) of 40262 and 40266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40262 and 40266. First we will calculate the prime factors of 40262 and 40266.

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 40266

Prime factors of 40266 are 2, 3, 2237. Prime factorization of 40266 in exponential form is:

40266 = 21 × 32 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 40262 and 40266.

LCM(40262,40266) = 21 × 411 × 4911 × 32 × 22371
LCM(40262,40266) = 810594846