What is the Least Common Multiple of 15547 and 15551?
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 15547 and 15551 is 241771397.
LCM(15547,15551) = 241771397
Least Common Multiple of 15547 and 15551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15547 and 15551, than apply into the LCM equation.
GCF(15547,15551) = 1
LCM(15547,15551) = ( 15547 × 15551) / 1
LCM(15547,15551) = 241771397 / 1
LCM(15547,15551) = 241771397
Least Common Multiple (LCM) of 15547 and 15551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15547 and 15551. First we will calculate the prime factors of 15547 and 15551.
Prime Factorization of 15547
Prime factors of 15547 are 7, 2221. Prime factorization of 15547 in exponential form is:
15547 = 71 × 22211
Prime Factorization of 15551
Prime factors of 15551 are 15551. Prime factorization of 15551 in exponential form is:
15551 = 155511
Now multiplying the highest exponent prime factors to calculate the LCM of 15547 and 15551.
LCM(15547,15551) = 71 × 22211 × 155511
LCM(15547,15551) = 241771397
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