GCF and LCM Calculator Logo

What is the Least Common Multiple of 67078 and 67084?

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 (LCM) of 67078 and 67084 is 2249930276.

LCM(67078,67084) = 2249930276

LCM Calculator and
and

Least Common Multiple of 67078 and 67084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67078 and 67084, than apply into the LCM equation.

GCF(67078,67084) = 2
LCM(67078,67084) = ( 67078 × 67084) / 2
LCM(67078,67084) = 4499860552 / 2
LCM(67078,67084) = 2249930276

Least Common Multiple (LCM) of 67078 and 67084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67078 and 67084. First we will calculate the prime factors of 67078 and 67084.

Prime Factorization of 67078

Prime factors of 67078 are 2, 11, 3049. Prime factorization of 67078 in exponential form is:

67078 = 21 × 111 × 30491

Prime Factorization of 67084

Prime factors of 67084 are 2, 31, 541. Prime factorization of 67084 in exponential form is:

67084 = 22 × 311 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 67078 and 67084.

LCM(67078,67084) = 22 × 111 × 30491 × 311 × 5411
LCM(67078,67084) = 2249930276