What is the Least Common Multiple of 3539 and 3554?
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 3539 and 3554 is 12577606.
LCM(3539,3554) = 12577606
Least Common Multiple of 3539 and 3554 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3539 and 3554, than apply into the LCM equation.
GCF(3539,3554) = 1
LCM(3539,3554) = ( 3539 × 3554) / 1
LCM(3539,3554) = 12577606 / 1
LCM(3539,3554) = 12577606
Least Common Multiple (LCM) of 3539 and 3554 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3539 and 3554. First we will calculate the prime factors of 3539 and 3554.
Prime Factorization of 3539
Prime factors of 3539 are 3539. Prime factorization of 3539 in exponential form is:
3539 = 35391
Prime Factorization of 3554
Prime factors of 3554 are 2, 1777. Prime factorization of 3554 in exponential form is:
3554 = 21 × 17771
Now multiplying the highest exponent prime factors to calculate the LCM of 3539 and 3554.
LCM(3539,3554) = 35391 × 21 × 17771
LCM(3539,3554) = 12577606
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