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What is the Least Common Multiple of 3478 and 3491?

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 3478 and 3491 is 12141698.

LCM(3478,3491) = 12141698

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Least Common Multiple of 3478 and 3491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3478 and 3491, than apply into the LCM equation.

GCF(3478,3491) = 1
LCM(3478,3491) = ( 3478 × 3491) / 1
LCM(3478,3491) = 12141698 / 1
LCM(3478,3491) = 12141698

Least Common Multiple (LCM) of 3478 and 3491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3478 and 3491. First we will calculate the prime factors of 3478 and 3491.

Prime Factorization of 3478

Prime factors of 3478 are 2, 37, 47. Prime factorization of 3478 in exponential form is:

3478 = 21 × 371 × 471

Prime Factorization of 3491

Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:

3491 = 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 3478 and 3491.

LCM(3478,3491) = 21 × 371 × 471 × 34911
LCM(3478,3491) = 12141698