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What is the Least Common Multiple of 3463 and 3480?

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 3463 and 3480 is 12051240.

LCM(3463,3480) = 12051240

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Least Common Multiple of 3463 and 3480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3463 and 3480, than apply into the LCM equation.

GCF(3463,3480) = 1
LCM(3463,3480) = ( 3463 × 3480) / 1
LCM(3463,3480) = 12051240 / 1
LCM(3463,3480) = 12051240

Least Common Multiple (LCM) of 3463 and 3480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3480. First we will calculate the prime factors of 3463 and 3480.

Prime Factorization of 3463

Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:

3463 = 34631

Prime Factorization of 3480

Prime factors of 3480 are 2, 3, 5, 29. Prime factorization of 3480 in exponential form is:

3480 = 23 × 31 × 51 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 3463 and 3480.

LCM(3463,3480) = 34631 × 23 × 31 × 51 × 291
LCM(3463,3480) = 12051240