What is the Least Common Multiple of 69036 and 69056?

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 69036 and 69056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69036 and 69056, than apply into the LCM equation.

GCF(69036,69056) = 4
LCM(69036,69056) = ( 69036 × 69056) / 4
LCM(69036,69056) = 4767350016 / 4
LCM(69036,69056) = 1191837504

Least Common Multiple (LCM) of 69036 and 69056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69036 and 69056. First we will calculate the prime factors of 69036 and 69056.

Prime Factorization of 69036

Prime Factorization of 69056

Now multiplying the highest exponent prime factors to calculate the LCM of 69036 and 69056.

LCM(69036,69056) = 2⁶ × 3¹ × 11¹ × 523¹ × 13¹ × 83¹
LCM(69036,69056) = 1191837504