GCF and LCM Calculator Logo

What is the Least Common Multiple of 76856 and 76867?

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 76856 and 76867 is 5907690152.

LCM(76856,76867) = 5907690152

LCM Calculator and
and

Least Common Multiple of 76856 and 76867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76856 and 76867, than apply into the LCM equation.

GCF(76856,76867) = 1
LCM(76856,76867) = ( 76856 × 76867) / 1
LCM(76856,76867) = 5907690152 / 1
LCM(76856,76867) = 5907690152

Least Common Multiple (LCM) of 76856 and 76867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76856 and 76867. First we will calculate the prime factors of 76856 and 76867.

Prime Factorization of 76856

Prime factors of 76856 are 2, 13, 739. Prime factorization of 76856 in exponential form is:

76856 = 23 × 131 × 7391

Prime Factorization of 76867

Prime factors of 76867 are 7, 79, 139. Prime factorization of 76867 in exponential form is:

76867 = 71 × 791 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 76856 and 76867.

LCM(76856,76867) = 23 × 131 × 7391 × 71 × 791 × 1391
LCM(76856,76867) = 5907690152