What is the Least Common Multiple of 18887 and 18894?
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 18887 and 18894 is 356850978.
LCM(18887,18894) = 356850978
Least Common Multiple of 18887 and 18894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18887 and 18894, than apply into the LCM equation.
GCF(18887,18894) = 1
LCM(18887,18894) = ( 18887 × 18894) / 1
LCM(18887,18894) = 356850978 / 1
LCM(18887,18894) = 356850978
Least Common Multiple (LCM) of 18887 and 18894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18887 and 18894. First we will calculate the prime factors of 18887 and 18894.
Prime Factorization of 18887
Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:
18887 = 111 × 171 × 1011
Prime Factorization of 18894
Prime factors of 18894 are 2, 3, 47, 67. Prime factorization of 18894 in exponential form is:
18894 = 21 × 31 × 471 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 18887 and 18894.
LCM(18887,18894) = 111 × 171 × 1011 × 21 × 31 × 471 × 671
LCM(18887,18894) = 356850978
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