What is the Least Common Multiple of 6414 and 6419?

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 6414 and 6419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6414 and 6419, than apply into the LCM equation.

GCF(6414,6419) = 1
LCM(6414,6419) = ( 6414 × 6419) / 1
LCM(6414,6419) = 41171466 / 1
LCM(6414,6419) = 41171466

Least Common Multiple (LCM) of 6414 and 6419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6414 and 6419. First we will calculate the prime factors of 6414 and 6419.

Prime Factorization of 6414

Prime Factorization of 6419

Now multiplying the highest exponent prime factors to calculate the LCM of 6414 and 6419.

LCM(6414,6419) = 2¹ × 3¹ × 1069¹ × 7² × 131¹
LCM(6414,6419) = 41171466