What is the Least Common Multiple of 15541 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 15541 and 15551 is 241678091.
LCM(15541,15551) = 241678091
Least Common Multiple of 15541 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 15541 and 15551, than apply into the LCM equation.
GCF(15541,15551) = 1
LCM(15541,15551) = ( 15541 × 15551) / 1
LCM(15541,15551) = 241678091 / 1
LCM(15541,15551) = 241678091
Least Common Multiple (LCM) of 15541 and 15551 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15541 and 15551. First we will calculate the prime factors of 15541 and 15551.
Prime Factorization of 15541
Prime factors of 15541 are 15541. Prime factorization of 15541 in exponential form is:
15541 = 155411
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 15541 and 15551.
LCM(15541,15551) = 155411 × 155511
LCM(15541,15551) = 241678091
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