What is the Least Common Multiple of 92320 and 92334?

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 92320 and 92334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92320 and 92334, than apply into the LCM equation.

GCF(92320,92334) = 2
LCM(92320,92334) = ( 92320 × 92334) / 2
LCM(92320,92334) = 8524274880 / 2
LCM(92320,92334) = 4262137440

Least Common Multiple (LCM) of 92320 and 92334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92320 and 92334. First we will calculate the prime factors of 92320 and 92334.

Prime Factorization of 92320

Prime Factorization of 92334

Now multiplying the highest exponent prime factors to calculate the LCM of 92320 and 92334.

LCM(92320,92334) = 2⁵ × 5¹ × 577¹ × 3¹ × 11¹ × 1399¹
LCM(92320,92334) = 4262137440