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What is the Least Common Multiple of 3548 and 3552?

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 3548 and 3552 is 3150624.

LCM(3548,3552) = 3150624

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Least Common Multiple of 3548 and 3552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3548 and 3552, than apply into the LCM equation.

GCF(3548,3552) = 4
LCM(3548,3552) = ( 3548 × 3552) / 4
LCM(3548,3552) = 12602496 / 4
LCM(3548,3552) = 3150624

Least Common Multiple (LCM) of 3548 and 3552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3548 and 3552. First we will calculate the prime factors of 3548 and 3552.

Prime Factorization of 3548

Prime factors of 3548 are 2, 887. Prime factorization of 3548 in exponential form is:

3548 = 22 × 8871

Prime Factorization of 3552

Prime factors of 3552 are 2, 3, 37. Prime factorization of 3552 in exponential form is:

3552 = 25 × 31 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 3548 and 3552.

LCM(3548,3552) = 25 × 8871 × 31 × 371
LCM(3548,3552) = 3150624