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What is the Least Common Multiple of 40447 and 40462?

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 40447 and 40462 is 1636566514.

LCM(40447,40462) = 1636566514

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Least Common Multiple of 40447 and 40462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40447 and 40462, than apply into the LCM equation.

GCF(40447,40462) = 1
LCM(40447,40462) = ( 40447 × 40462) / 1
LCM(40447,40462) = 1636566514 / 1
LCM(40447,40462) = 1636566514

Least Common Multiple (LCM) of 40447 and 40462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40447 and 40462. First we will calculate the prime factors of 40447 and 40462.

Prime Factorization of 40447

Prime factors of 40447 are 11, 3677. Prime factorization of 40447 in exponential form is:

40447 = 111 × 36771

Prime Factorization of 40462

Prime factors of 40462 are 2, 20231. Prime factorization of 40462 in exponential form is:

40462 = 21 × 202311

Now multiplying the highest exponent prime factors to calculate the LCM of 40447 and 40462.

LCM(40447,40462) = 111 × 36771 × 21 × 202311
LCM(40447,40462) = 1636566514