What is the Least Common Multiple of 27150 and 27161?
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 27150 and 27161 is 737421150.
LCM(27150,27161) = 737421150
Least Common Multiple of 27150 and 27161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27150 and 27161, than apply into the LCM equation.
GCF(27150,27161) = 1
LCM(27150,27161) = ( 27150 × 27161) / 1
LCM(27150,27161) = 737421150 / 1
LCM(27150,27161) = 737421150
Least Common Multiple (LCM) of 27150 and 27161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27150 and 27161. First we will calculate the prime factors of 27150 and 27161.
Prime Factorization of 27150
Prime factors of 27150 are 2, 3, 5, 181. Prime factorization of 27150 in exponential form is:
27150 = 21 × 31 × 52 × 1811
Prime Factorization of 27161
Prime factors of 27161 are 157, 173. Prime factorization of 27161 in exponential form is:
27161 = 1571 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 27150 and 27161.
LCM(27150,27161) = 21 × 31 × 52 × 1811 × 1571 × 1731
LCM(27150,27161) = 737421150
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