What is the Least Common Multiple of 1798 and 1808?
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 1798 and 1808 is 1625392.
LCM(1798,1808) = 1625392
Least Common Multiple of 1798 and 1808 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1798 and 1808, than apply into the LCM equation.
GCF(1798,1808) = 2
LCM(1798,1808) = ( 1798 × 1808) / 2
LCM(1798,1808) = 3250784 / 2
LCM(1798,1808) = 1625392
Least Common Multiple (LCM) of 1798 and 1808 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1798 and 1808. First we will calculate the prime factors of 1798 and 1808.
Prime Factorization of 1798
Prime factors of 1798 are 2, 29, 31. Prime factorization of 1798 in exponential form is:
1798 = 21 × 291 × 311
Prime Factorization of 1808
Prime factors of 1808 are 2, 113. Prime factorization of 1808 in exponential form is:
1808 = 24 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 1798 and 1808.
LCM(1798,1808) = 24 × 291 × 311 × 1131
LCM(1798,1808) = 1625392
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