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What is the Least Common Multiple of 40907 and 40911?

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 40907 and 40911 is 1673546277.

LCM(40907,40911) = 1673546277

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Least Common Multiple of 40907 and 40911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40907 and 40911, than apply into the LCM equation.

GCF(40907,40911) = 1
LCM(40907,40911) = ( 40907 × 40911) / 1
LCM(40907,40911) = 1673546277 / 1
LCM(40907,40911) = 1673546277

Least Common Multiple (LCM) of 40907 and 40911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40907 and 40911. First we will calculate the prime factors of 40907 and 40911.

Prime Factorization of 40907

Prime factors of 40907 are 19, 2153. Prime factorization of 40907 in exponential form is:

40907 = 191 × 21531

Prime Factorization of 40911

Prime factors of 40911 are 3, 13, 1049. Prime factorization of 40911 in exponential form is:

40911 = 31 × 131 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 40907 and 40911.

LCM(40907,40911) = 191 × 21531 × 31 × 131 × 10491
LCM(40907,40911) = 1673546277