What is the Least Common Multiple of 16530 and 16535?
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 16530 and 16535 is 54664710.
LCM(16530,16535) = 54664710
Least Common Multiple of 16530 and 16535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16530 and 16535, than apply into the LCM equation.
GCF(16530,16535) = 5
LCM(16530,16535) = ( 16530 × 16535) / 5
LCM(16530,16535) = 273323550 / 5
LCM(16530,16535) = 54664710
Least Common Multiple (LCM) of 16530 and 16535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16530 and 16535. First we will calculate the prime factors of 16530 and 16535.
Prime Factorization of 16530
Prime factors of 16530 are 2, 3, 5, 19, 29. Prime factorization of 16530 in exponential form is:
16530 = 21 × 31 × 51 × 191 × 291
Prime Factorization of 16535
Prime factors of 16535 are 5, 3307. Prime factorization of 16535 in exponential form is:
16535 = 51 × 33071
Now multiplying the highest exponent prime factors to calculate the LCM of 16530 and 16535.
LCM(16530,16535) = 21 × 31 × 51 × 191 × 291 × 33071
LCM(16530,16535) = 54664710
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