What is the Least Common Multiple of 11028 and 11032?
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 11028 and 11032 is 30415224.
LCM(11028,11032) = 30415224
Least Common Multiple of 11028 and 11032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11028 and 11032, than apply into the LCM equation.
GCF(11028,11032) = 4
LCM(11028,11032) = ( 11028 × 11032) / 4
LCM(11028,11032) = 121660896 / 4
LCM(11028,11032) = 30415224
Least Common Multiple (LCM) of 11028 and 11032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11028 and 11032. First we will calculate the prime factors of 11028 and 11032.
Prime Factorization of 11028
Prime factors of 11028 are 2, 3, 919. Prime factorization of 11028 in exponential form is:
11028 = 22 × 31 × 9191
Prime Factorization of 11032
Prime factors of 11032 are 2, 7, 197. Prime factorization of 11032 in exponential form is:
11032 = 23 × 71 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 11028 and 11032.
LCM(11028,11032) = 23 × 31 × 9191 × 71 × 1971
LCM(11028,11032) = 30415224
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