What is the Least Common Multiple of 67384 and 67402?

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 67384 and 67402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67384 and 67402, than apply into the LCM equation.

GCF(67384,67402) = 2
LCM(67384,67402) = ( 67384 × 67402) / 2
LCM(67384,67402) = 4541816368 / 2
LCM(67384,67402) = 2270908184

Least Common Multiple (LCM) of 67384 and 67402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67384 and 67402. First we will calculate the prime factors of 67384 and 67402.

Prime Factorization of 67384

Prime Factorization of 67402

Now multiplying the highest exponent prime factors to calculate the LCM of 67384 and 67402.

LCM(67384,67402) = 2³ × 8423¹ × 67¹ × 503¹
LCM(67384,67402) = 2270908184