GCF and LCM Calculator Logo

What is the Least Common Multiple of 67274 and 67288?

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 67274 and 67288 is 2263366456.

LCM(67274,67288) = 2263366456

LCM Calculator and
and

Least Common Multiple of 67274 and 67288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67274 and 67288, than apply into the LCM equation.

GCF(67274,67288) = 2
LCM(67274,67288) = ( 67274 × 67288) / 2
LCM(67274,67288) = 4526732912 / 2
LCM(67274,67288) = 2263366456

Least Common Multiple (LCM) of 67274 and 67288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67274 and 67288. First we will calculate the prime factors of 67274 and 67288.

Prime Factorization of 67274

Prime factors of 67274 are 2, 33637. Prime factorization of 67274 in exponential form is:

67274 = 21 × 336371

Prime Factorization of 67288

Prime factors of 67288 are 2, 13, 647. Prime factorization of 67288 in exponential form is:

67288 = 23 × 131 × 6471

Now multiplying the highest exponent prime factors to calculate the LCM of 67274 and 67288.

LCM(67274,67288) = 23 × 336371 × 131 × 6471
LCM(67274,67288) = 2263366456