What is the Least Common Multiple of 11030 and 11037?
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 11030 and 11037 is 121738110.
LCM(11030,11037) = 121738110
Least Common Multiple of 11030 and 11037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11030 and 11037, than apply into the LCM equation.
GCF(11030,11037) = 1
LCM(11030,11037) = ( 11030 × 11037) / 1
LCM(11030,11037) = 121738110 / 1
LCM(11030,11037) = 121738110
Least Common Multiple (LCM) of 11030 and 11037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11030 and 11037. First we will calculate the prime factors of 11030 and 11037.
Prime Factorization of 11030
Prime factors of 11030 are 2, 5, 1103. Prime factorization of 11030 in exponential form is:
11030 = 21 × 51 × 11031
Prime Factorization of 11037
Prime factors of 11037 are 3, 13, 283. Prime factorization of 11037 in exponential form is:
11037 = 31 × 131 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 11030 and 11037.
LCM(11030,11037) = 21 × 51 × 11031 × 31 × 131 × 2831
LCM(11030,11037) = 121738110
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