What is the Least Common Multiple of 69368 and 69376?

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 69368 and 69376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69368 and 69376, than apply into the LCM equation.

GCF(69368,69376) = 8
LCM(69368,69376) = ( 69368 × 69376) / 8
LCM(69368,69376) = 4812474368 / 8
LCM(69368,69376) = 601559296

Least Common Multiple (LCM) of 69368 and 69376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69368 and 69376. First we will calculate the prime factors of 69368 and 69376.

Prime Factorization of 69368

Prime Factorization of 69376

Now multiplying the highest exponent prime factors to calculate the LCM of 69368 and 69376.

LCM(69368,69376) = 2⁸ × 13¹ × 23¹ × 29¹ × 271¹
LCM(69368,69376) = 601559296