What is the Least Common Multiple of 69140 and 69152?

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 69140 and 69152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69140 and 69152, than apply into the LCM equation.

GCF(69140,69152) = 4
LCM(69140,69152) = ( 69140 × 69152) / 4
LCM(69140,69152) = 4781169280 / 4
LCM(69140,69152) = 1195292320

Least Common Multiple (LCM) of 69140 and 69152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69140 and 69152. First we will calculate the prime factors of 69140 and 69152.

Prime Factorization of 69140

Prime Factorization of 69152

Now multiplying the highest exponent prime factors to calculate the LCM of 69140 and 69152.

LCM(69140,69152) = 2⁵ × 5¹ × 3457¹ × 2161¹
LCM(69140,69152) = 1195292320