What is the Least Common Multiple of 69048 and 69068?

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 69048 and 69068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69048 and 69068, than apply into the LCM equation.

GCF(69048,69068) = 4
LCM(69048,69068) = ( 69048 × 69068) / 4
LCM(69048,69068) = 4769007264 / 4
LCM(69048,69068) = 1192251816

Least Common Multiple (LCM) of 69048 and 69068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69048 and 69068. First we will calculate the prime factors of 69048 and 69068.

Prime Factorization of 69048

Prime Factorization of 69068

Now multiplying the highest exponent prime factors to calculate the LCM of 69048 and 69068.

LCM(69048,69068) = 2³ × 3² × 7¹ × 137¹ × 31¹ × 557¹
LCM(69048,69068) = 1192251816