What is the Least Common Multiple of 76676 and 76681?

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 76676 and 76681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76676 and 76681, than apply into the LCM equation.

GCF(76676,76681) = 1
LCM(76676,76681) = ( 76676 × 76681) / 1
LCM(76676,76681) = 5879592356 / 1
LCM(76676,76681) = 5879592356

Least Common Multiple (LCM) of 76676 and 76681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76676 and 76681. First we will calculate the prime factors of 76676 and 76681.

Prime Factorization of 76676

Prime Factorization of 76681

Now multiplying the highest exponent prime factors to calculate the LCM of 76676 and 76681.

LCM(76676,76681) = 2² × 29¹ × 661¹ × 11¹ × 6971¹
LCM(76676,76681) = 5879592356