GCF and LCM Calculator Logo

What is the Least Common Multiple of 67277 and 67284?

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 67277 and 67284 is 646666524.

LCM(67277,67284) = 646666524

LCM Calculator and
and

Least Common Multiple of 67277 and 67284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67277 and 67284, than apply into the LCM equation.

GCF(67277,67284) = 7
LCM(67277,67284) = ( 67277 × 67284) / 7
LCM(67277,67284) = 4526665668 / 7
LCM(67277,67284) = 646666524

Least Common Multiple (LCM) of 67277 and 67284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67277 and 67284. First we will calculate the prime factors of 67277 and 67284.

Prime Factorization of 67277

Prime factors of 67277 are 7, 1373. Prime factorization of 67277 in exponential form is:

67277 = 72 × 13731

Prime Factorization of 67284

Prime factors of 67284 are 2, 3, 7, 89. Prime factorization of 67284 in exponential form is:

67284 = 22 × 33 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 67277 and 67284.

LCM(67277,67284) = 72 × 13731 × 22 × 33 × 891
LCM(67277,67284) = 646666524