What is the Least Common Multiple of 10311 and 10320?
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 10311 and 10320 is 35469840.
LCM(10311,10320) = 35469840
Least Common Multiple of 10311 and 10320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10311 and 10320, than apply into the LCM equation.
GCF(10311,10320) = 3
LCM(10311,10320) = ( 10311 × 10320) / 3
LCM(10311,10320) = 106409520 / 3
LCM(10311,10320) = 35469840
Least Common Multiple (LCM) of 10311 and 10320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10311 and 10320. First we will calculate the prime factors of 10311 and 10320.
Prime Factorization of 10311
Prime factors of 10311 are 3, 7, 491. Prime factorization of 10311 in exponential form is:
10311 = 31 × 71 × 4911
Prime Factorization of 10320
Prime factors of 10320 are 2, 3, 5, 43. Prime factorization of 10320 in exponential form is:
10320 = 24 × 31 × 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 10311 and 10320.
LCM(10311,10320) = 31 × 71 × 4911 × 24 × 51 × 431
LCM(10311,10320) = 35469840
Related Least Common Multiples of 10311
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