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What is the Least Common Multiple of 80836 and 80847?

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 80836 and 80847 is 6535348092.

LCM(80836,80847) = 6535348092

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Least Common Multiple of 80836 and 80847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80836 and 80847, than apply into the LCM equation.

GCF(80836,80847) = 1
LCM(80836,80847) = ( 80836 × 80847) / 1
LCM(80836,80847) = 6535348092 / 1
LCM(80836,80847) = 6535348092

Least Common Multiple (LCM) of 80836 and 80847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80836 and 80847. First we will calculate the prime factors of 80836 and 80847.

Prime Factorization of 80836

Prime factors of 80836 are 2, 7, 2887. Prime factorization of 80836 in exponential form is:

80836 = 22 × 71 × 28871

Prime Factorization of 80847

Prime factors of 80847 are 3, 13, 691. Prime factorization of 80847 in exponential form is:

80847 = 32 × 131 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 80836 and 80847.

LCM(80836,80847) = 22 × 71 × 28871 × 32 × 131 × 6911
LCM(80836,80847) = 6535348092