What is the Least Common Multiple of 14419 and 14435?

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 of 14419 and 14435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14419 and 14435, than apply into the LCM equation.

GCF(14419,14435) = 1
LCM(14419,14435) = ( 14419 × 14435) / 1
LCM(14419,14435) = 208138265 / 1
LCM(14419,14435) = 208138265

Least Common Multiple (LCM) of 14419 and 14435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14419 and 14435. First we will calculate the prime factors of 14419 and 14435.

Prime Factorization of 14419

Prime Factorization of 14435

Now multiplying the highest exponent prime factors to calculate the LCM of 14419 and 14435.

LCM(14419,14435) = 14419¹ × 5¹ × 2887¹
LCM(14419,14435) = 208138265