What is the Least Common Multiple of 13414 and 13430?

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 13414 and 13430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13414 and 13430, than apply into the LCM equation.

GCF(13414,13430) = 2
LCM(13414,13430) = ( 13414 × 13430) / 2
LCM(13414,13430) = 180150020 / 2
LCM(13414,13430) = 90075010

Least Common Multiple (LCM) of 13414 and 13430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13414 and 13430. First we will calculate the prime factors of 13414 and 13430.

Prime Factorization of 13414

Prime Factorization of 13430

Now multiplying the highest exponent prime factors to calculate the LCM of 13414 and 13430.

LCM(13414,13430) = 2¹ × 19¹ × 353¹ × 5¹ × 17¹ × 79¹
LCM(13414,13430) = 90075010