What is the Least Common Multiple of 91524 and 91543?

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 91524 and 91543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91524 and 91543, than apply into the LCM equation.

GCF(91524,91543) = 1
LCM(91524,91543) = ( 91524 × 91543) / 1
LCM(91524,91543) = 8378381532 / 1
LCM(91524,91543) = 8378381532

Least Common Multiple (LCM) of 91524 and 91543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91524 and 91543. First we will calculate the prime factors of 91524 and 91543.

Prime Factorization of 91524

Prime Factorization of 91543

Now multiplying the highest exponent prime factors to calculate the LCM of 91524 and 91543.

LCM(91524,91543) = 2² × 3¹ × 29¹ × 263¹ × 31¹ × 2953¹
LCM(91524,91543) = 8378381532