What is the Least Common Multiple of 16490 and 16505?
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 16490 and 16505 is 54433490.
LCM(16490,16505) = 54433490
Least Common Multiple of 16490 and 16505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16490 and 16505, than apply into the LCM equation.
GCF(16490,16505) = 5
LCM(16490,16505) = ( 16490 × 16505) / 5
LCM(16490,16505) = 272167450 / 5
LCM(16490,16505) = 54433490
Least Common Multiple (LCM) of 16490 and 16505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16490 and 16505. First we will calculate the prime factors of 16490 and 16505.
Prime Factorization of 16490
Prime factors of 16490 are 2, 5, 17, 97. Prime factorization of 16490 in exponential form is:
16490 = 21 × 51 × 171 × 971
Prime Factorization of 16505
Prime factors of 16505 are 5, 3301. Prime factorization of 16505 in exponential form is:
16505 = 51 × 33011
Now multiplying the highest exponent prime factors to calculate the LCM of 16490 and 16505.
LCM(16490,16505) = 21 × 51 × 171 × 971 × 33011
LCM(16490,16505) = 54433490
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