What is the Least Common Multiple of 28103 and 28111?
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 28103 and 28111 is 790003433.
LCM(28103,28111) = 790003433
Least Common Multiple of 28103 and 28111 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28103 and 28111, than apply into the LCM equation.
GCF(28103,28111) = 1
LCM(28103,28111) = ( 28103 × 28111) / 1
LCM(28103,28111) = 790003433 / 1
LCM(28103,28111) = 790003433
Least Common Multiple (LCM) of 28103 and 28111 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28103 and 28111. First we will calculate the prime factors of 28103 and 28111.
Prime Factorization of 28103
Prime factors of 28103 are 157, 179. Prime factorization of 28103 in exponential form is:
28103 = 1571 × 1791
Prime Factorization of 28111
Prime factors of 28111 are 28111. Prime factorization of 28111 in exponential form is:
28111 = 281111
Now multiplying the highest exponent prime factors to calculate the LCM of 28103 and 28111.
LCM(28103,28111) = 1571 × 1791 × 281111
LCM(28103,28111) = 790003433
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