What is the Least Common Multiple of 18035 and 18052?
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 18035 and 18052 is 325567820.
LCM(18035,18052) = 325567820
Least Common Multiple of 18035 and 18052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18035 and 18052, than apply into the LCM equation.
GCF(18035,18052) = 1
LCM(18035,18052) = ( 18035 × 18052) / 1
LCM(18035,18052) = 325567820 / 1
LCM(18035,18052) = 325567820
Least Common Multiple (LCM) of 18035 and 18052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18035 and 18052. First we will calculate the prime factors of 18035 and 18052.
Prime Factorization of 18035
Prime factors of 18035 are 5, 3607. Prime factorization of 18035 in exponential form is:
18035 = 51 × 36071
Prime Factorization of 18052
Prime factors of 18052 are 2, 4513. Prime factorization of 18052 in exponential form is:
18052 = 22 × 45131
Now multiplying the highest exponent prime factors to calculate the LCM of 18035 and 18052.
LCM(18035,18052) = 51 × 36071 × 22 × 45131
LCM(18035,18052) = 325567820
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