What is the Least Common Multiple of 67392 and 67408?

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 67392 and 67408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67392 and 67408, than apply into the LCM equation.

GCF(67392,67408) = 16
LCM(67392,67408) = ( 67392 × 67408) / 16
LCM(67392,67408) = 4542759936 / 16
LCM(67392,67408) = 283922496

Least Common Multiple (LCM) of 67392 and 67408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67392 and 67408. First we will calculate the prime factors of 67392 and 67408.

Prime Factorization of 67392

Prime Factorization of 67408

Now multiplying the highest exponent prime factors to calculate the LCM of 67392 and 67408.

LCM(67392,67408) = 2⁶ × 3⁴ × 13¹ × 11¹ × 383¹
LCM(67392,67408) = 283922496