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What is the Least Common Multiple of 80488 and 80497?

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 80488 and 80497 is 6479042536.

LCM(80488,80497) = 6479042536

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Least Common Multiple of 80488 and 80497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80488 and 80497, than apply into the LCM equation.

GCF(80488,80497) = 1
LCM(80488,80497) = ( 80488 × 80497) / 1
LCM(80488,80497) = 6479042536 / 1
LCM(80488,80497) = 6479042536

Least Common Multiple (LCM) of 80488 and 80497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80488 and 80497. First we will calculate the prime factors of 80488 and 80497.

Prime Factorization of 80488

Prime factors of 80488 are 2, 10061. Prime factorization of 80488 in exponential form is:

80488 = 23 × 100611

Prime Factorization of 80497

Prime factors of 80497 are 101, 797. Prime factorization of 80497 in exponential form is:

80497 = 1011 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 80488 and 80497.

LCM(80488,80497) = 23 × 100611 × 1011 × 7971
LCM(80488,80497) = 6479042536