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What is the Least Common Multiple of 40465 and 40476?

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 40465 and 40476 is 1637861340.

LCM(40465,40476) = 1637861340

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Least Common Multiple of 40465 and 40476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40465 and 40476, than apply into the LCM equation.

GCF(40465,40476) = 1
LCM(40465,40476) = ( 40465 × 40476) / 1
LCM(40465,40476) = 1637861340 / 1
LCM(40465,40476) = 1637861340

Least Common Multiple (LCM) of 40465 and 40476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40465 and 40476. First we will calculate the prime factors of 40465 and 40476.

Prime Factorization of 40465

Prime factors of 40465 are 5, 8093. Prime factorization of 40465 in exponential form is:

40465 = 51 × 80931

Prime Factorization of 40476

Prime factors of 40476 are 2, 3, 3373. Prime factorization of 40476 in exponential form is:

40476 = 22 × 31 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 40465 and 40476.

LCM(40465,40476) = 51 × 80931 × 22 × 31 × 33731
LCM(40465,40476) = 1637861340