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What is the Least Common Multiple of 80722 and 80728?

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 80722 and 80728 is 3258262808.

LCM(80722,80728) = 3258262808

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Least Common Multiple of 80722 and 80728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80722 and 80728, than apply into the LCM equation.

GCF(80722,80728) = 2
LCM(80722,80728) = ( 80722 × 80728) / 2
LCM(80722,80728) = 6516525616 / 2
LCM(80722,80728) = 3258262808

Least Common Multiple (LCM) of 80722 and 80728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80722 and 80728. First we will calculate the prime factors of 80722 and 80728.

Prime Factorization of 80722

Prime factors of 80722 are 2, 40361. Prime factorization of 80722 in exponential form is:

80722 = 21 × 403611

Prime Factorization of 80728

Prime factors of 80728 are 2, 10091. Prime factorization of 80728 in exponential form is:

80728 = 23 × 100911

Now multiplying the highest exponent prime factors to calculate the LCM of 80722 and 80728.

LCM(80722,80728) = 23 × 403611 × 100911
LCM(80722,80728) = 3258262808