What is the Least Common Multiple of 2359 and 2370?
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 2359 and 2370 is 5590830.
LCM(2359,2370) = 5590830
Least Common Multiple of 2359 and 2370 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2359 and 2370, than apply into the LCM equation.
GCF(2359,2370) = 1
LCM(2359,2370) = ( 2359 × 2370) / 1
LCM(2359,2370) = 5590830 / 1
LCM(2359,2370) = 5590830
Least Common Multiple (LCM) of 2359 and 2370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2359 and 2370. First we will calculate the prime factors of 2359 and 2370.
Prime Factorization of 2359
Prime factors of 2359 are 7, 337. Prime factorization of 2359 in exponential form is:
2359 = 71 × 3371
Prime Factorization of 2370
Prime factors of 2370 are 2, 3, 5, 79. Prime factorization of 2370 in exponential form is:
2370 = 21 × 31 × 51 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 2359 and 2370.
LCM(2359,2370) = 71 × 3371 × 21 × 31 × 51 × 791
LCM(2359,2370) = 5590830
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