What is the Least Common Multiple of 78414 and 78429?

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 78414 and 78429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78414 and 78429, than apply into the LCM equation.

GCF(78414,78429) = 3
LCM(78414,78429) = ( 78414 × 78429) / 3
LCM(78414,78429) = 6149931606 / 3
LCM(78414,78429) = 2049977202

Least Common Multiple (LCM) of 78414 and 78429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78414 and 78429. First we will calculate the prime factors of 78414 and 78429.

Prime Factorization of 78414

Prime Factorization of 78429

Now multiplying the highest exponent prime factors to calculate the LCM of 78414 and 78429.

LCM(78414,78429) = 2¹ × 3¹ × 7¹ × 1867¹ × 13¹ × 2011¹
LCM(78414,78429) = 2049977202