What is the Least Common Multiple of 27801 and 27811?
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 27801 and 27811 is 773173611.
LCM(27801,27811) = 773173611
Least Common Multiple of 27801 and 27811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27801 and 27811, than apply into the LCM equation.
GCF(27801,27811) = 1
LCM(27801,27811) = ( 27801 × 27811) / 1
LCM(27801,27811) = 773173611 / 1
LCM(27801,27811) = 773173611
Least Common Multiple (LCM) of 27801 and 27811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27801 and 27811. First we will calculate the prime factors of 27801 and 27811.
Prime Factorization of 27801
Prime factors of 27801 are 3, 3089. Prime factorization of 27801 in exponential form is:
27801 = 32 × 30891
Prime Factorization of 27811
Prime factors of 27811 are 7, 29, 137. Prime factorization of 27811 in exponential form is:
27811 = 71 × 291 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 27801 and 27811.
LCM(27801,27811) = 32 × 30891 × 71 × 291 × 1371
LCM(27801,27811) = 773173611
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