What is the Least Common Multiple of 91680 and 91698?

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 91680 and 91698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91680 and 91698, than apply into the LCM equation.

GCF(91680,91698) = 6
LCM(91680,91698) = ( 91680 × 91698) / 6
LCM(91680,91698) = 8406872640 / 6
LCM(91680,91698) = 1401145440

Least Common Multiple (LCM) of 91680 and 91698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91680 and 91698. First we will calculate the prime factors of 91680 and 91698.

Prime Factorization of 91680

Prime Factorization of 91698

Now multiplying the highest exponent prime factors to calculate the LCM of 91680 and 91698.

LCM(91680,91698) = 2⁵ × 3¹ × 5¹ × 191¹ × 17¹ × 29¹ × 31¹
LCM(91680,91698) = 1401145440