What is the Least Common Multiple of 92064 and 92084?

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 92084 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 92084, than apply into the LCM equation.

GCF(92064,92084) = 4
LCM(92064,92084) = ( 92064 × 92084) / 4
LCM(92064,92084) = 8477621376 / 4
LCM(92064,92084) = 2119405344

Least Common Multiple (LCM) of 92064 and 92084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92064 and 92084. First we will calculate the prime factors of 92064 and 92084.

Prime Factorization of 92064

Prime Factorization of 92084

Now multiplying the highest exponent prime factors to calculate the LCM of 92064 and 92084.

LCM(92064,92084) = 2⁵ × 3¹ × 7¹ × 137¹ × 23021¹
LCM(92064,92084) = 2119405344