What is the Least Common Multiple of 68400 and 68419?

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 68400 and 68419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68400 and 68419, than apply into the LCM equation.

GCF(68400,68419) = 19
LCM(68400,68419) = ( 68400 × 68419) / 19
LCM(68400,68419) = 4679859600 / 19
LCM(68400,68419) = 246308400

Least Common Multiple (LCM) of 68400 and 68419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68400 and 68419. First we will calculate the prime factors of 68400 and 68419.

Prime Factorization of 68400

Prime Factorization of 68419

Now multiplying the highest exponent prime factors to calculate the LCM of 68400 and 68419.

LCM(68400,68419) = 2⁴ × 3² × 5² × 19¹ × 13¹ × 277¹
LCM(68400,68419) = 246308400