What is the Least Common Multiple of 67920 and 67936?

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 67920 and 67936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67920 and 67936, than apply into the LCM equation.

GCF(67920,67936) = 16
LCM(67920,67936) = ( 67920 × 67936) / 16
LCM(67920,67936) = 4614213120 / 16
LCM(67920,67936) = 288388320

Least Common Multiple (LCM) of 67920 and 67936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67920 and 67936. First we will calculate the prime factors of 67920 and 67936.

Prime Factorization of 67920

Prime Factorization of 67936

Now multiplying the highest exponent prime factors to calculate the LCM of 67920 and 67936.

LCM(67920,67936) = 2⁵ × 3¹ × 5¹ × 283¹ × 11¹ × 193¹
LCM(67920,67936) = 288388320