What is the Least Common Multiple of 91568 and 91586?

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 91568 and 91586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91568 and 91586, than apply into the LCM equation.

GCF(91568,91586) = 2
LCM(91568,91586) = ( 91568 × 91586) / 2
LCM(91568,91586) = 8386346848 / 2
LCM(91568,91586) = 4193173424

Least Common Multiple (LCM) of 91568 and 91586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91568 and 91586. First we will calculate the prime factors of 91568 and 91586.

Prime Factorization of 91568

Prime Factorization of 91586

Now multiplying the highest exponent prime factors to calculate the LCM of 91568 and 91586.

LCM(91568,91586) = 2⁴ × 59¹ × 97¹ × 11¹ × 23¹ × 181¹
LCM(91568,91586) = 4193173424