What is the Least Common Multiple of 54091 and 54100?
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 54091 and 54100 is 2926323100.
LCM(54091,54100) = 2926323100
Least Common Multiple of 54091 and 54100 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54091 and 54100, than apply into the LCM equation.
GCF(54091,54100) = 1
LCM(54091,54100) = ( 54091 × 54100) / 1
LCM(54091,54100) = 2926323100 / 1
LCM(54091,54100) = 2926323100
Least Common Multiple (LCM) of 54091 and 54100 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54091 and 54100. First we will calculate the prime factors of 54091 and 54100.
Prime Factorization of 54091
Prime factors of 54091 are 54091. Prime factorization of 54091 in exponential form is:
54091 = 540911
Prime Factorization of 54100
Prime factors of 54100 are 2, 5, 541. Prime factorization of 54100 in exponential form is:
54100 = 22 × 52 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 54091 and 54100.
LCM(54091,54100) = 540911 × 22 × 52 × 5411
LCM(54091,54100) = 2926323100
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