What is the Least Common Multiple of 77112 and 77129?

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 77112 and 77129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77112 and 77129, than apply into the LCM equation.

GCF(77112,77129) = 17
LCM(77112,77129) = ( 77112 × 77129) / 17
LCM(77112,77129) = 5947571448 / 17
LCM(77112,77129) = 349857144

Least Common Multiple (LCM) of 77112 and 77129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77112 and 77129. First we will calculate the prime factors of 77112 and 77129.

Prime Factorization of 77112

Prime Factorization of 77129

Now multiplying the highest exponent prime factors to calculate the LCM of 77112 and 77129.

LCM(77112,77129) = 2³ × 3⁴ × 7¹ × 17¹ × 13¹ × 349¹
LCM(77112,77129) = 349857144