What is the Least Common Multiple of 91824 and 91836?

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 91824 and 91836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91824 and 91836, than apply into the LCM equation.

GCF(91824,91836) = 12
LCM(91824,91836) = ( 91824 × 91836) / 12
LCM(91824,91836) = 8432748864 / 12
LCM(91824,91836) = 702729072

Least Common Multiple (LCM) of 91824 and 91836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91824 and 91836. First we will calculate the prime factors of 91824 and 91836.

Prime Factorization of 91824

Prime Factorization of 91836

Now multiplying the highest exponent prime factors to calculate the LCM of 91824 and 91836.

LCM(91824,91836) = 2⁴ × 3² × 1913¹ × 2551¹
LCM(91824,91836) = 702729072