What is the Least Common Multiple of 1664 and 1679?

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 1664 and 1679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1664 and 1679, than apply into the LCM equation.

GCF(1664,1679) = 1
LCM(1664,1679) = ( 1664 × 1679) / 1
LCM(1664,1679) = 2793856 / 1
LCM(1664,1679) = 2793856

Least Common Multiple (LCM) of 1664 and 1679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1664 and 1679. First we will calculate the prime factors of 1664 and 1679.

Prime Factorization of 1664

Prime Factorization of 1679

Now multiplying the highest exponent prime factors to calculate the LCM of 1664 and 1679.

LCM(1664,1679) = 2⁷ × 13¹ × 23¹ × 73¹
LCM(1664,1679) = 2793856