What is the Least Common Multiple of 77664 and 77680?

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 77664 and 77680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77664 and 77680, than apply into the LCM equation.

GCF(77664,77680) = 16
LCM(77664,77680) = ( 77664 × 77680) / 16
LCM(77664,77680) = 6032939520 / 16
LCM(77664,77680) = 377058720

Least Common Multiple (LCM) of 77664 and 77680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77664 and 77680. First we will calculate the prime factors of 77664 and 77680.

Prime Factorization of 77664

Prime Factorization of 77680

Now multiplying the highest exponent prime factors to calculate the LCM of 77664 and 77680.

LCM(77664,77680) = 2⁵ × 3¹ × 809¹ × 5¹ × 971¹
LCM(77664,77680) = 377058720