What is the Least Common Multiple of 69432 and 69452?

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 69432 and 69452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69432 and 69452, than apply into the LCM equation.

GCF(69432,69452) = 4
LCM(69432,69452) = ( 69432 × 69452) / 4
LCM(69432,69452) = 4822191264 / 4
LCM(69432,69452) = 1205547816

Least Common Multiple (LCM) of 69432 and 69452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69432 and 69452. First we will calculate the prime factors of 69432 and 69452.

Prime Factorization of 69432

Prime Factorization of 69452

Now multiplying the highest exponent prime factors to calculate the LCM of 69432 and 69452.

LCM(69432,69452) = 2³ × 3¹ × 11¹ × 263¹ × 97¹ × 179¹
LCM(69432,69452) = 1205547816