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What is the Least Common Multiple of 8461 and 8480?

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 8461 and 8480 is 71749280.

LCM(8461,8480) = 71749280

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Least Common Multiple of 8461 and 8480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8461 and 8480, than apply into the LCM equation.

GCF(8461,8480) = 1
LCM(8461,8480) = ( 8461 × 8480) / 1
LCM(8461,8480) = 71749280 / 1
LCM(8461,8480) = 71749280

Least Common Multiple (LCM) of 8461 and 8480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8461 and 8480. First we will calculate the prime factors of 8461 and 8480.

Prime Factorization of 8461

Prime factors of 8461 are 8461. Prime factorization of 8461 in exponential form is:

8461 = 84611

Prime Factorization of 8480

Prime factors of 8480 are 2, 5, 53. Prime factorization of 8480 in exponential form is:

8480 = 25 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8461 and 8480.

LCM(8461,8480) = 84611 × 25 × 51 × 531
LCM(8461,8480) = 71749280