What is the Least Common Multiple of 1399 and 1419?
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 1399 and 1419 is 1985181.
LCM(1399,1419) = 1985181
Least Common Multiple of 1399 and 1419 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1399 and 1419, than apply into the LCM equation.
GCF(1399,1419) = 1
LCM(1399,1419) = ( 1399 × 1419) / 1
LCM(1399,1419) = 1985181 / 1
LCM(1399,1419) = 1985181
Least Common Multiple (LCM) of 1399 and 1419 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1399 and 1419. First we will calculate the prime factors of 1399 and 1419.
Prime Factorization of 1399
Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:
1399 = 13991
Prime Factorization of 1419
Prime factors of 1419 are 3, 11, 43. Prime factorization of 1419 in exponential form is:
1419 = 31 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 1399 and 1419.
LCM(1399,1419) = 13991 × 31 × 111 × 431
LCM(1399,1419) = 1985181
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