What is the Least Common Multiple of 69328 and 69342?

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 69328 and 69342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69328 and 69342, than apply into the LCM equation.

GCF(69328,69342) = 14
LCM(69328,69342) = ( 69328 × 69342) / 14
LCM(69328,69342) = 4807342176 / 14
LCM(69328,69342) = 343381584

Least Common Multiple (LCM) of 69328 and 69342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69328 and 69342. First we will calculate the prime factors of 69328 and 69342.

Prime Factorization of 69328

Prime Factorization of 69342

Now multiplying the highest exponent prime factors to calculate the LCM of 69328 and 69342.

LCM(69328,69342) = 2⁴ × 7¹ × 619¹ × 3¹ × 13¹ × 127¹
LCM(69328,69342) = 343381584