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What is the Least Common Multiple of 3505 and 3523?

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 3505 and 3523 is 12348115.

LCM(3505,3523) = 12348115

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Least Common Multiple of 3505 and 3523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3505 and 3523, than apply into the LCM equation.

GCF(3505,3523) = 1
LCM(3505,3523) = ( 3505 × 3523) / 1
LCM(3505,3523) = 12348115 / 1
LCM(3505,3523) = 12348115

Least Common Multiple (LCM) of 3505 and 3523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3505 and 3523. First we will calculate the prime factors of 3505 and 3523.

Prime Factorization of 3505

Prime factors of 3505 are 5, 701. Prime factorization of 3505 in exponential form is:

3505 = 51 × 7011

Prime Factorization of 3523

Prime factors of 3523 are 13, 271. Prime factorization of 3523 in exponential form is:

3523 = 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 3505 and 3523.

LCM(3505,3523) = 51 × 7011 × 131 × 2711
LCM(3505,3523) = 12348115