What is the Least Common Multiple of 69004 and 69024?

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 69004 and 69024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69004 and 69024, than apply into the LCM equation.

GCF(69004,69024) = 4
LCM(69004,69024) = ( 69004 × 69024) / 4
LCM(69004,69024) = 4762932096 / 4
LCM(69004,69024) = 1190733024

Least Common Multiple (LCM) of 69004 and 69024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69004 and 69024. First we will calculate the prime factors of 69004 and 69024.

Prime Factorization of 69004

Prime Factorization of 69024

Now multiplying the highest exponent prime factors to calculate the LCM of 69004 and 69024.

LCM(69004,69024) = 2⁵ × 13¹ × 1327¹ × 3¹ × 719¹
LCM(69004,69024) = 1190733024