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What is the Least Common Multiple of 80477 and 80481?

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 80477 and 80481 is 6476869437.

LCM(80477,80481) = 6476869437

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Least Common Multiple of 80477 and 80481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80477 and 80481, than apply into the LCM equation.

GCF(80477,80481) = 1
LCM(80477,80481) = ( 80477 × 80481) / 1
LCM(80477,80481) = 6476869437 / 1
LCM(80477,80481) = 6476869437

Least Common Multiple (LCM) of 80477 and 80481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80477 and 80481. First we will calculate the prime factors of 80477 and 80481.

Prime Factorization of 80477

Prime factors of 80477 are 23, 3499. Prime factorization of 80477 in exponential form is:

80477 = 231 × 34991

Prime Factorization of 80481

Prime factors of 80481 are 3, 139, 193. Prime factorization of 80481 in exponential form is:

80481 = 31 × 1391 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 80477 and 80481.

LCM(80477,80481) = 231 × 34991 × 31 × 1391 × 1931
LCM(80477,80481) = 6476869437