What is the Least Common Multiple of 67084 and 67096?

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 67084 and 67096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67084 and 67096, than apply into the LCM equation.

GCF(67084,67096) = 4
LCM(67084,67096) = ( 67084 × 67096) / 4
LCM(67084,67096) = 4501068064 / 4
LCM(67084,67096) = 1125267016

Least Common Multiple (LCM) of 67084 and 67096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67084 and 67096. First we will calculate the prime factors of 67084 and 67096.

Prime Factorization of 67084

Prime Factorization of 67096

Now multiplying the highest exponent prime factors to calculate the LCM of 67084 and 67096.

LCM(67084,67096) = 2³ × 31¹ × 541¹ × 8387¹
LCM(67084,67096) = 1125267016