What is the Least Common Multiple of 91664 and 91680?

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 91664 and 91680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91664 and 91680, than apply into the LCM equation.

GCF(91664,91680) = 16
LCM(91664,91680) = ( 91664 × 91680) / 16
LCM(91664,91680) = 8403755520 / 16
LCM(91664,91680) = 525234720

Least Common Multiple (LCM) of 91664 and 91680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91664 and 91680. First we will calculate the prime factors of 91664 and 91680.

Prime Factorization of 91664

Prime Factorization of 91680

Now multiplying the highest exponent prime factors to calculate the LCM of 91664 and 91680.

LCM(91664,91680) = 2⁵ × 17¹ × 337¹ × 3¹ × 5¹ × 191¹
LCM(91664,91680) = 525234720