What is the Least Common Multiple of 69072 and 69089?

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 69072 and 69089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69072 and 69089, than apply into the LCM equation.

GCF(69072,69089) = 1
LCM(69072,69089) = ( 69072 × 69089) / 1
LCM(69072,69089) = 4772115408 / 1
LCM(69072,69089) = 4772115408

Least Common Multiple (LCM) of 69072 and 69089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69072 and 69089. First we will calculate the prime factors of 69072 and 69089.

Prime Factorization of 69072

Prime Factorization of 69089

Now multiplying the highest exponent prime factors to calculate the LCM of 69072 and 69089.

LCM(69072,69089) = 2⁴ × 3¹ × 1439¹ × 59¹ × 1171¹
LCM(69072,69089) = 4772115408