What is the Least Common Multiple of 80770 and 80776?

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 80770 and 80776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80770 and 80776, than apply into the LCM equation.

GCF(80770,80776) = 2
LCM(80770,80776) = ( 80770 × 80776) / 2
LCM(80770,80776) = 6524277520 / 2
LCM(80770,80776) = 3262138760

Least Common Multiple (LCM) of 80770 and 80776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80770 and 80776. First we will calculate the prime factors of 80770 and 80776.

Prime Factorization of 80770

Prime Factorization of 80776

Now multiplying the highest exponent prime factors to calculate the LCM of 80770 and 80776.

LCM(80770,80776) = 2³ × 5¹ × 41¹ × 197¹ × 23¹ × 439¹
LCM(80770,80776) = 3262138760