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What is the Least Common Multiple of 3543 and 3562?

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 3543 and 3562 is 12620166.

LCM(3543,3562) = 12620166

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Least Common Multiple of 3543 and 3562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3543 and 3562, than apply into the LCM equation.

GCF(3543,3562) = 1
LCM(3543,3562) = ( 3543 × 3562) / 1
LCM(3543,3562) = 12620166 / 1
LCM(3543,3562) = 12620166

Least Common Multiple (LCM) of 3543 and 3562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3543 and 3562. First we will calculate the prime factors of 3543 and 3562.

Prime Factorization of 3543

Prime factors of 3543 are 3, 1181. Prime factorization of 3543 in exponential form is:

3543 = 31 × 11811

Prime Factorization of 3562

Prime factors of 3562 are 2, 13, 137. Prime factorization of 3562 in exponential form is:

3562 = 21 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3543 and 3562.

LCM(3543,3562) = 31 × 11811 × 21 × 131 × 1371
LCM(3543,3562) = 12620166