What is the Least Common Multiple of 69424 and 69438?

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 69424 and 69438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69424 and 69438, than apply into the LCM equation.

GCF(69424,69438) = 2
LCM(69424,69438) = ( 69424 × 69438) / 2
LCM(69424,69438) = 4820663712 / 2
LCM(69424,69438) = 2410331856

Least Common Multiple (LCM) of 69424 and 69438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69424 and 69438. First we will calculate the prime factors of 69424 and 69438.

Prime Factorization of 69424

Prime Factorization of 69438

Now multiplying the highest exponent prime factors to calculate the LCM of 69424 and 69438.

LCM(69424,69438) = 2⁴ × 4339¹ × 3¹ × 71¹ × 163¹
LCM(69424,69438) = 2410331856