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What is the Least Common Multiple of 8475 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 8475 and 8480 is 14373600.

LCM(8475,8480) = 14373600

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Least Common Multiple of 8475 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 8475 and 8480, than apply into the LCM equation.

GCF(8475,8480) = 5
LCM(8475,8480) = ( 8475 × 8480) / 5
LCM(8475,8480) = 71868000 / 5
LCM(8475,8480) = 14373600

Least Common Multiple (LCM) of 8475 and 8480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8475 and 8480. First we will calculate the prime factors of 8475 and 8480.

Prime Factorization of 8475

Prime factors of 8475 are 3, 5, 113. Prime factorization of 8475 in exponential form is:

8475 = 31 × 52 × 1131

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 8475 and 8480.

LCM(8475,8480) = 31 × 52 × 1131 × 25 × 531
LCM(8475,8480) = 14373600