What is the Least Common Multiple of 4310 and 4316?
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 4316 is 9300980.
LCM(4310,4316) = 9300980
Least Common Multiple of 4310 and 4316 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 4316, than apply into the LCM equation.
GCF(4310,4316) = 2
LCM(4310,4316) = ( 4310 × 4316) / 2
LCM(4310,4316) = 18601960 / 2
LCM(4310,4316) = 9300980
Least Common Multiple (LCM) of 4310 and 4316 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4310 and 4316. First we will calculate the prime factors of 4310 and 4316.
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 4316
Prime factors of 4316 are 2, 13, 83. Prime factorization of 4316 in exponential form is:
4316 = 22 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 4310 and 4316.
LCM(4310,4316) = 22 × 51 × 4311 × 131 × 831
LCM(4310,4316) = 9300980
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