What is the Least Common Multiple of 53890 and 53894?
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 53890 and 53894 is 1452173830.
LCM(53890,53894) = 1452173830
Least Common Multiple of 53890 and 53894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53890 and 53894, than apply into the LCM equation.
GCF(53890,53894) = 2
LCM(53890,53894) = ( 53890 × 53894) / 2
LCM(53890,53894) = 2904347660 / 2
LCM(53890,53894) = 1452173830
Least Common Multiple (LCM) of 53890 and 53894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53890 and 53894. First we will calculate the prime factors of 53890 and 53894.
Prime Factorization of 53890
Prime factors of 53890 are 2, 5, 17, 317. Prime factorization of 53890 in exponential form is:
53890 = 21 × 51 × 171 × 3171
Prime Factorization of 53894
Prime factors of 53894 are 2, 26947. Prime factorization of 53894 in exponential form is:
53894 = 21 × 269471
Now multiplying the highest exponent prime factors to calculate the LCM of 53890 and 53894.
LCM(53890,53894) = 21 × 51 × 171 × 3171 × 269471
LCM(53890,53894) = 1452173830
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