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What is the Least Common Multiple of 80796 and 80807?

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 80796 and 80807 is 6528882372.

LCM(80796,80807) = 6528882372

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Least Common Multiple of 80796 and 80807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80796 and 80807, than apply into the LCM equation.

GCF(80796,80807) = 1
LCM(80796,80807) = ( 80796 × 80807) / 1
LCM(80796,80807) = 6528882372 / 1
LCM(80796,80807) = 6528882372

Least Common Multiple (LCM) of 80796 and 80807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80796 and 80807. First we will calculate the prime factors of 80796 and 80807.

Prime Factorization of 80796

Prime factors of 80796 are 2, 3, 6733. Prime factorization of 80796 in exponential form is:

80796 = 22 × 31 × 67331

Prime Factorization of 80807

Prime factors of 80807 are 19, 4253. Prime factorization of 80807 in exponential form is:

80807 = 191 × 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 80796 and 80807.

LCM(80796,80807) = 22 × 31 × 67331 × 191 × 42531
LCM(80796,80807) = 6528882372