What is the Least Common Multiple of 77664 and 77673?

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 77673 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 77673, than apply into the LCM equation.

GCF(77664,77673) = 3
LCM(77664,77673) = ( 77664 × 77673) / 3
LCM(77664,77673) = 6032395872 / 3
LCM(77664,77673) = 2010798624

Least Common Multiple (LCM) of 77664 and 77673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77664 and 77673. First we will calculate the prime factors of 77664 and 77673.

Prime Factorization of 77664

Prime Factorization of 77673

Now multiplying the highest exponent prime factors to calculate the LCM of 77664 and 77673.

LCM(77664,77673) = 2⁵ × 3¹ × 809¹ × 17¹ × 1523¹
LCM(77664,77673) = 2010798624