What is the Least Common Multiple of 30887 and 30894?
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 30887 and 30894 is 954222978.
LCM(30887,30894) = 954222978
Least Common Multiple of 30887 and 30894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30887 and 30894, than apply into the LCM equation.
GCF(30887,30894) = 1
LCM(30887,30894) = ( 30887 × 30894) / 1
LCM(30887,30894) = 954222978 / 1
LCM(30887,30894) = 954222978
Least Common Multiple (LCM) of 30887 and 30894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30887 and 30894. First we will calculate the prime factors of 30887 and 30894.
Prime Factorization of 30887
Prime factors of 30887 are 67, 461. Prime factorization of 30887 in exponential form is:
30887 = 671 × 4611
Prime Factorization of 30894
Prime factors of 30894 are 2, 3, 19, 271. Prime factorization of 30894 in exponential form is:
30894 = 21 × 31 × 191 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 30887 and 30894.
LCM(30887,30894) = 671 × 4611 × 21 × 31 × 191 × 2711
LCM(30887,30894) = 954222978
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