What is the Least Common Multiple of 92064 and 92083?

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 92064 and 92083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92064 and 92083, than apply into the LCM equation.

GCF(92064,92083) = 1
LCM(92064,92083) = ( 92064 × 92083) / 1
LCM(92064,92083) = 8477529312 / 1
LCM(92064,92083) = 8477529312

Least Common Multiple (LCM) of 92064 and 92083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92064 and 92083. First we will calculate the prime factors of 92064 and 92083.

Prime Factorization of 92064

Prime Factorization of 92083

Now multiplying the highest exponent prime factors to calculate the LCM of 92064 and 92083.

LCM(92064,92083) = 2⁵ × 3¹ × 7¹ × 137¹ × 92083¹
LCM(92064,92083) = 8477529312