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What is the Least Common Multiple of 80522 and 80540?

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 80522 and 80540 is 3242620940.

LCM(80522,80540) = 3242620940

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Least Common Multiple of 80522 and 80540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80522 and 80540, than apply into the LCM equation.

GCF(80522,80540) = 2
LCM(80522,80540) = ( 80522 × 80540) / 2
LCM(80522,80540) = 6485241880 / 2
LCM(80522,80540) = 3242620940

Least Common Multiple (LCM) of 80522 and 80540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80522 and 80540. First we will calculate the prime factors of 80522 and 80540.

Prime Factorization of 80522

Prime factors of 80522 are 2, 13, 19, 163. Prime factorization of 80522 in exponential form is:

80522 = 21 × 131 × 191 × 1631

Prime Factorization of 80540

Prime factors of 80540 are 2, 5, 4027. Prime factorization of 80540 in exponential form is:

80540 = 22 × 51 × 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 80522 and 80540.

LCM(80522,80540) = 22 × 131 × 191 × 1631 × 51 × 40271
LCM(80522,80540) = 3242620940