What is the Least Common Multiple of 69412 and 69432?

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 69412 and 69432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69412 and 69432, than apply into the LCM equation.

GCF(69412,69432) = 4
LCM(69412,69432) = ( 69412 × 69432) / 4
LCM(69412,69432) = 4819413984 / 4
LCM(69412,69432) = 1204853496

Least Common Multiple (LCM) of 69412 and 69432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69412 and 69432. First we will calculate the prime factors of 69412 and 69432.

Prime Factorization of 69412

Prime Factorization of 69432

Now multiplying the highest exponent prime factors to calculate the LCM of 69412 and 69432.

LCM(69412,69432) = 2³ × 7¹ × 37¹ × 67¹ × 3¹ × 11¹ × 263¹
LCM(69412,69432) = 1204853496