What is the Least Common Multiple of 10428 and 10447?
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 10428 and 10447 is 108941316.
LCM(10428,10447) = 108941316
Least Common Multiple of 10428 and 10447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10428 and 10447, than apply into the LCM equation.
GCF(10428,10447) = 1
LCM(10428,10447) = ( 10428 × 10447) / 1
LCM(10428,10447) = 108941316 / 1
LCM(10428,10447) = 108941316
Least Common Multiple (LCM) of 10428 and 10447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10428 and 10447. First we will calculate the prime factors of 10428 and 10447.
Prime Factorization of 10428
Prime factors of 10428 are 2, 3, 11, 79. Prime factorization of 10428 in exponential form is:
10428 = 22 × 31 × 111 × 791
Prime Factorization of 10447
Prime factors of 10447 are 31, 337. Prime factorization of 10447 in exponential form is:
10447 = 311 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 10428 and 10447.
LCM(10428,10447) = 22 × 31 × 111 × 791 × 311 × 3371
LCM(10428,10447) = 108941316
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