What is the Least Common Multiple of 81358 and 81376?

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 81358 and 81376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81358 and 81376, than apply into the LCM equation.

GCF(81358,81376) = 2
LCM(81358,81376) = ( 81358 × 81376) / 2
LCM(81358,81376) = 6620588608 / 2
LCM(81358,81376) = 3310294304

Least Common Multiple (LCM) of 81358 and 81376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81358 and 81376. First we will calculate the prime factors of 81358 and 81376.

Prime Factorization of 81358

Prime Factorization of 81376

Now multiplying the highest exponent prime factors to calculate the LCM of 81358 and 81376.

LCM(81358,81376) = 2⁵ × 19¹ × 2141¹ × 2543¹
LCM(81358,81376) = 3310294304