What is the Least Common Multiple of 76876 and 76890?

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 76876 and 76890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76876 and 76890, than apply into the LCM equation.

GCF(76876,76890) = 2
LCM(76876,76890) = ( 76876 × 76890) / 2
LCM(76876,76890) = 5910995640 / 2
LCM(76876,76890) = 2955497820

Least Common Multiple (LCM) of 76876 and 76890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76876 and 76890. First we will calculate the prime factors of 76876 and 76890.

Prime Factorization of 76876

Prime Factorization of 76890

Now multiplying the highest exponent prime factors to calculate the LCM of 76876 and 76890.

LCM(76876,76890) = 2² × 19219¹ × 3¹ × 5¹ × 11¹ × 233¹
LCM(76876,76890) = 2955497820