What is the Least Common Multiple of 4310 and 4322?
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 4310 and 4322 is 9313910.
LCM(4310,4322) = 9313910
Least Common Multiple of 4310 and 4322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4310 and 4322, than apply into the LCM equation.
GCF(4310,4322) = 2
LCM(4310,4322) = ( 4310 × 4322) / 2
LCM(4310,4322) = 18627820 / 2
LCM(4310,4322) = 9313910
Least Common Multiple (LCM) of 4310 and 4322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4322. First we will calculate the prime factors of 4310 and 4322.
Prime Factorization of 4310
Prime factors of 4310 are 2, 5, 431. Prime factorization of 4310 in exponential form is:
4310 = 21 × 51 × 4311
Prime Factorization of 4322
Prime factors of 4322 are 2, 2161. Prime factorization of 4322 in exponential form is:
4322 = 21 × 21611
Now multiplying the highest exponent prime factors to calculate the LCM of 4310 and 4322.
LCM(4310,4322) = 21 × 51 × 4311 × 21611
LCM(4310,4322) = 9313910
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