What is the Least Common Multiple of 28180 and 28198?
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 28180 and 28198 is 397309820.
LCM(28180,28198) = 397309820
Least Common Multiple of 28180 and 28198 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28180 and 28198, than apply into the LCM equation.
GCF(28180,28198) = 2
LCM(28180,28198) = ( 28180 × 28198) / 2
LCM(28180,28198) = 794619640 / 2
LCM(28180,28198) = 397309820
Least Common Multiple (LCM) of 28180 and 28198 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28180 and 28198. First we will calculate the prime factors of 28180 and 28198.
Prime Factorization of 28180
Prime factors of 28180 are 2, 5, 1409. Prime factorization of 28180 in exponential form is:
28180 = 22 × 51 × 14091
Prime Factorization of 28198
Prime factors of 28198 are 2, 23, 613. Prime factorization of 28198 in exponential form is:
28198 = 21 × 231 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 28180 and 28198.
LCM(28180,28198) = 22 × 51 × 14091 × 231 × 6131
LCM(28180,28198) = 397309820
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